Cos in microsoft excel

В этой статье описаны синтаксис формулы и использование функции COS в Microsoft Excel.

Описание

Возвращает косинус заданного угла.

Синтаксис

COS(число)

Аргументы функции COS описаны ниже.

• Число    — обязательный аргумент. Угол в радианах, для которого определяется косинус.

Замечания

Если угол задан в градусах, умножьте его на ПИ()/180 или воспользуйтесь функцией РАДИАНЫ, чтобы преобразовать его в радианы.

Пример

Скопируйте образец данных из следующей таблицы и вставьте их в ячейку A1 нового листа Excel. Чтобы отобразить результаты формул, выделите их и нажмите клавишу F2, а затем — клавишу ВВОД. При необходимости измените ширину столбцов, чтобы видеть все данные.

Формула	Описание	Результат
=COS(1,047)	Косинус 1,047 радиан	0,5001711
=COS(60*ПИ()/180)	Косинус 60 градусов	0,5
=COS(РАДИАНЫ(60))	Косинус 60 градусов	0,5

This article describes the formula syntax and usage of the COS function in Microsoft Excel.

Description

Returns the cosine of the given angle.

Syntax

COS(number)

The COS function syntax has the following arguments:

• Number    Required. The angle in radians for which you want the cosine.

Remark

If the angle is in degrees, either multiply the angle by PI()/180 or use the RADIANS function to convert the angle to radians.

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Formula	Description	Result
=COS(1.047)	Cosine of 1.047 radians	0.5001711
=COS(60*PI()/180)	Cosine of 60 degrees	0.5
=COS(RADIANS(60))	Cosine of 60 degrees	0.5

Функция SIN в Excel используется для вычисления синуса угла, заданного в радианах, и возвращает соответствующее значение.

Функция SINH в Excel возвращает значение гиперболического синуса заданного вещественного числа.

Функция COS в Excel вычисляет косинус угла, заданного в радианах, и возвращает соответствующее значение.

Функция COSH возвращает значение гиперболического косинуса заданного вещественного числа.

Примеры использования функций SIN, SINH, COS и COSH в Excel

Пример 1. Путешественник движется вверх на гору с уклоном в 17°. Скорость движения постоянная и составляет 4 км/ч. Определить, на какой высоте относительно начальной точке отсчета он окажется спустя 3 часа.

Таблица данных:

Для решения используем формулу:

=B2*B3*SIN(РАДИАНЫ(B1))

Описание аргументов:

• B2*B3 – произведение скорости на время пути, результатом которого является пройденное расстояние (гипотенуза прямоугольного треугольника);
• SIN(РАДИАНЫ(B1)) – синус угла уклона, выраженного в радианах с помощью функции РАДИАНЫ.

В результате расчетов мы получили величину малого катета прямоугольного треугольника, который характеризует высоту подъема путешественника.



Таблица синусов и косинусов в Excel

Пример 2. Ранее в учебных заведениях широко использовались справочники тригонометрических функций. Как можно создать свой простой справочник с помощью Excel для косинусов углов от 0 до 90?

Заполним столбцы значениями углов в градусах:

Для заполнения используем функцию COS как формулу массива. Пример заполнения первого столбца:

=COS(РАДИАНЫ(A2:A16))

Вычислим значения для всех значений углов. Полученный результат:

Примечание: известно, что cos(90°)=0, однако функция РАДИАНЫ(90) определяет значение радианов угла с некоторой погрешностью, поэтому для угла 90° было получено отличное от нуля значение.

Аналогичным способом создадим таблицу синусов в Excel:

Построение графика функций SINH и COSH в Excel

Пример 3. Построить графики функций sinh(x) и cosh(x) для одинаковых значений независимой переменной и сравнить их.

Исходные данные:

Формула для нахождения синусов гиперболических:

=SINH(A2:A12)

Формула для нахождения косинусов гиперболических:

=COSH(A2:A12)

Таблица полученных значений:

Построим графики обеих функций на основе имеющихся данных. Выделите диапазон ячеек A1:C12 и выберите инструмент «ВСТАВКА»-«Диаграммы»-«Вставь точечную (X,Y) или пузырьковую диаграмму»-«Точечная с гладкими кривыми и маркерами»:

Как видно, графики совпадают на промежутке (0;+∞), а в области отрицательных значений x части графиков являются зеркальными отражениями друг друга.

Особенности использования тригонометрических функций в Excel

Синтаксис функции SIN:

=SIN(число)

Синтаксис функции SINH:

=SINH(число)

Синтаксис функции COS:

=COS(число)

Синтаксис функции COSH:

>=COSH(число)

Каждая из приведенных выше функций принимает единственный аргумент число, который характеризует угол, заданный в радианах (для SIN и COS) или любое значение из диапазона вещественных чисел, для которого требуется определить гиперболические синус или косинус (для SINH и COSH соответственно).

Примечания 1:

1. Если в качестве аргумента любой из рассматриваемых функций были переданы текстовые данные, которые не могут быть преобразованы в числовое значение, результатом выполнения функций будет код ошибки #ЗНАЧ!. Например, функция =SIN(“1”) вернет результат 0,8415, поскольку Excel выполняет преобразование данных там, где это возможно.
2. В качестве аргументов рассматриваемых функций могут быть переданы логические значения ИСТИНА и ЛОЖЬ, которые будут интерпретированы как числовые значения 1 и 0 соответственно.
3. Все рассматриваемые функции могут быть использованы в качестве формул массива.

Примечения 2:

1. Синус гиперболический рассчитывается по формуле: sinh(x)=0,5*(ex-e-x).
2. Формула расчета косинуса гиперболического имеет вид: cosh(x)=0,5*( ex+e-x).
3. При расчетах синусов и косинусов углов с использованием формул SIN и COS необходимо использовать радианные меры углов. Если угол указан в градусах, для перевода в радианную меру угла можно использовать два способа:

Скачать примеры тригонометрических функций SIN и COS

• Функция РАДИАНЫ (например, =SIN(РАДИАНЫ(30)) вернет результат 0,5;
• Выражение ПИ()*угол_в_градусах/180.

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This article describes the formula syntax and usage of the COS function in Microsoft Excel.
Example.

Formula	Description	Result
=COS(60*PI()/180)	Cosine of 60 degrees	0.5
=COS(RADIANS(60))	Cosine of 60 degrees	0.5

How do you put COS 1 in Excel?

Excel ACOS Function

1. Summary. The ACOS function returns the inverse cosine of a number.
2. Get the inverse cosine of a value, in radians.
3. Angle in radians.
4. =ACOS (number)
5. number – The value to get the inverse cosine of. The number must be between -1 and 1 inclusive.
6. The ACOS function returns the inverse cosine of a value.

What is the use of COS function?

The cosine function is a periodic function which is very important in trigonometry. The simplest way to understand the cosine function is to use the unit circle. For a given angle measure θ , draw a unit circle on the coordinate plane and draw the angle centered at the origin, with one side as the positive x -axis.

How do you put degrees in Excel?

Method #1: Use the symbol library to get the degree symbol

1. In a cell, type ‘180’ (without the quotes).
2. Then go to Insert tab and click the Symbol icon (far right).
3. In the dropdown box at the top, select the Symbol font.
4. Scroll down and select the degree symbol.
5. Click Insert.

What is pi on Excel?

The PI Function in Excel returns the mathematical constant “pi.” To recap, PI is the ratio of a circle’s circumference and its diameter. Often, we would use the PI Function in Excel, especially when our business is required to do geometric calculations.

How do I know if I have SOH CAH TOA?

In this geometry lesson, you’re going to learn all about SohCahToa. It’s probably one of the most famous math mnemonics alongside PEMDAS.
It’s defined as:

1. SOH: Sin(θ) = Opposite / Hypotenuse.
2. CAH: Cos(θ) = Adjacent / Hypotenuse.
3. TOA: Tan(θ) = Opposite / Adjacent.

How do you write a cosine function?

Any cosine function can be written as a sine function. y = A sin(Bx) and y = A cos(Bx). The number, A, in front of sine or cosine changes the height of the graph. The value A (in front of sin or cos) affects the amplitude (height).

What is COSX equal to?

Remember the Pythagorean triple 8, 15, 17? The reference triangle has horizontal leg 8, vertical leg 15, hypotenuse 17…so cos x = 8/17. Another way to do this is to recall that 1 + tan²x = sec²x & secant is reciprocal of cosine.

What is the value of cosine?

0
As can be seen from the figure, cosine has a value of 0 at 90° and a value of 1 at 0°. Sine follows the opposite pattern; this is because sine and cosine are cofunctions (described later). The other commonly used angles are 30° ( ), 45° ( ), 60° ( ) and their respective multiples.

How do I insert a degree symbol?

How to type the degree symbol on an Android

1. Tap a place that you’re able to type so the keyboard appears.
2. Tap the ? 123 icon in the bottom-left corner, and then the =< icon above it.
3. The degree symbol will be on this page. Tap it to type it.

How do you write 90 degrees in Excel?

Right-click and then select “Format Cells” from the popup menu. When the Format Cells window appears, select the Alignment tab. Then set the number of degrees that you wish to rotate the text. This value ranges from 90 degrees to -90 degrees for Orientation.

How do I make the degree symbol?

If you are using Excel, you can add a degree symbol by typing “=CHAR(176)” in a cell. Press and hold Alt and type 0176 on Windows with a numeric keypad.

How do you add pi in Excel?

How to Use PI in Excel

1. Open your Excel spreadsheet and type “=” into a blank cell to label its contents as a mathematical formula.
2. Type “PI()”, which is equivalent to “3.14159265358979” in an Excel formula.
3. Type the remainder of your formula.
4. Press “Enter” to run the formula.

How do you find pi data in Excel?

Procedure

1. Go to the Data tab and click Get External Data > From Other Sources > From Data Connection Wizard.
2. In the Data Connection Wizard dialog, select the Other/advanced item and click Next.
3. Configure a Universal Data Link (UDL) to a PI Server.
4. Select the database that contains the data you want.

How do you use pi formula?

Use the formula.
The circumference of a circle is found with the formula C= π*d = 2*π*r. Thus, pi equals a circle’s circumference divided by its diameter. Plug your numbers into a calculator: the result should be roughly 3.14.

What is Sohcahtoa used for?

SOHCAHTOA is a mnemonic device helpful for remembering what ratio goes with which function. With these properties, you can solve almost any problem related to finding either a side length or angle measure of a right triangle. SohCahToa can ensure that you won’t get them wrong.

Is Sohcahtoa a trigonometry?

Sohcahtoa: SOHCAHTOA is a mnemonic device that is used in mathematics to remember the definitions of the three most common trigonometric functions.Sine, cosine, and tangent are the three main functions in trigonometry. They’re all based on ratios obtained from a right triangle.

How do you write a period with amplitude and cosine?

1 Answer

1. In y=acos(b(x−c))+d :
2. • |a| is the amplitude. • 2πb is the period.
3. The amplitude is 3 , so a=3 .
4. The period is 2π3 , so we solve for b .
5. b=3.
6. The phase shift is +π9 , so c=π9 .
7. The vertical transformation is +4 , so d=4 .
8. ∴ The equation is y=3cos(3(x−π9))+4 , which can be written as y=3cos(3x−π3)+4.

Is Cos an even function?

Sine is an odd function, and cosine is an even function. You may not have come across these adjectives “odd” and “even” when applied to functions, but it’s important to know them. A function f is said to be an odd function if for any number x, f(–x) = –f(x).

How do you integrate 1 cosine?

∫ (1 / cos(x)) dx = ∫ sec(x) dx = ln |sec(x) + tan(x)| + C, where C is a constant. The antiderivative of 1 / cos(x) is ln |sec(x) + tan(x)| + C, where C is a constant.

Can Cos equal 1?

1 Expert Answer
1) In the unit circle the x represent the cosine of the function and the y represent the sine of the trigonometric function. 2) Looking at the unit circle I noticed that cos(x) =1, corresponds to 360°. in other words cos (360º) =1, the answer is x=360º or x=2π radians.

This post will guide you how to use Excel COS function with syntax and examples in Microsoft excel.

Description

The Excel COS function returns the cosine of a given angle. If you want to supply an angle to COS function in degrees, then you need to multiply the angle by PI()/180. Or you can use the RADIANS function to the angle to radians.

The COS function is a build-in function in Microsoft Excel and it is categorized as a Math and Trigonometry Function.

The COS function is available in Excel 2016, Excel 2013, Excel 2010, Excel 2007, Excel 2003, Excel XP, Excel 2000, Excel 2011 for Mac.

Syntax

The syntax of the COS function is as below:

= COS(number)

Where the COS function argument is:

• number –This is a required argument. A number that used to be calculate the cosine of an angle.

Note:

• If your argument is in degrees, multiply it by PI()/180 or use the RADIANS function to convert it to radians.

Excel COS Function Examples

The below examples will show you how to use Excel COS Function to return the cosine of an angle.

1# get the cosine of 1.25 radians, enter the following formula in Cell B1.

=COS(1.25)

2# get the cosine of 45 degrees, enter the following formula in Cell B2.

=COS(45*PI()/180)

3# get the cosine of 30 degrees, enter the following formula in Cell B3.

=COS(RADIANS(30))

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• Excel SIN function
  The Excel TANH function returns the hyperbolic tangent of a given number.The syntax of the TANH function is as below:=TANH (number)…
• Excel ACOS function
  The Excel ACOS function returns the arccosine value of a number.The ACOS function is a build-in function in Microsoft Excel and it is categorized as a Math and Trigonometry Function.The syntax of the ACOS function is as below:= ACOS(number)…
• Excel ACOSH function
  The Excel ACOSH function returns the inverse hyperbolic cosine of a number.The syntax of the ACOSH function is as below:= ACOSH (number)…
• Excel ASIN function
  The Excel ASIN function returns the arcsine value of a number.The syntax of the ASIN function is as below:= ASIN (number)…
• Excel PI function
  The Excel PI function returns the value of mathematical constant PI. The returned value is 3.14159265358979 and ti will accurate to 15 digits.The syntax of the PI function is as below:=PI()…
• Excel TAN function
  The Excel TAN function returns the tangent of a given angle. So you can use this function to calculate the tangent of an angle in radians. The syntax of the TAN function is as below:=TAN (number)…
• Excel RADIANS function
  The Excel RADIANS function converts degrees into radians in Excel.The syntax of the RADIANS function is as below:=RADIANS (angle)…

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OFFSET Creates a reference offset from a starting point. ROW Returns the row number of a cell reference. ROWS Returns the number of rows in an array. TRANSPOSE Flips the oriention of a range of cells. VLOOKUP Lookup a value in the first column and return a value. Date & Time yes DATE Returns a date from year, month, and day. DATEDIF Number of days, months or years between two dates. DATEVALUE Converts a date stored as text into a valid date DAY Returns the day as a number (1-31). DAYS Returns the number of days between two dates. DAYS360 Returns days between 2 dates in a 360 day year. EDATE Returns a date, n months away from a start date. EOMONTH Returns the last day of the month, n months away date. HOUR Returns the hour as a number (0-23). MINUTE Returns the minute as a number (0-59). MONTH Returns the month as a number (1-12). NETWORKDAYS Number of working days between 2 dates. NETWORKDAYS.INTL Working days between 2 dates, custom weekends. NOW Returns the current date and time. SECOND Returns the second as a number (0-59) TIME Returns the time from a hour, minute, and second. TIMEVALUE Converts a time stored as text into a valid time. TODAY Returns the current date. WEEKDAY Returns the day of the week as a number (1-7). WEEKNUM Returns the week number in a year (1-52). WORKDAY The date n working days from a date. WORKDAY.INTL The date n working days from a date, custom weekends. YEAR Returns the year. YEARFRAC Returns the fraction of a year between 2 dates. Engineering yes CONVERT Convert number from one unit to another. Financial yes FV Calculates the future value. PV Calculates the present value. NPER Calculates the total number of payment periods. PMT Calculates the payment amount. RATE Calculates the interest Rate. NPV Calculates the net present value. IRR The internal rate of return for a set of periodic CFs. XIRR The internal rate of return for a set of non-periodic CFs. PRICE Calculates the price of a bond. YIELD Calculates the bond yield. INTRATE The interest rate of a fully invested security. Information yes CELL Returns information about a cell. ERROR.TYPE Returns a value representing the cell error. ISBLANK Test if cell is blank. TRUE/FALSE ISERR Test if cell value is an error, ignores #N/A. TRUE/FALSE ISERROR Test if cell value is an error. TRUE/FALSE ISEVEN Test if cell value is even. TRUE/FALSE ISFORMULA Test if cell is a formula. TRUE/FALSE ISLOGICAL Test if cell is logical (TRUE or FALSE). TRUE/FALSE ISNA Test if cell value is #N/A. TRUE/FALSE ISNONTEXT Test if cell is not text (blank cells are not text). TRUE/FALSE ISNUMBER Test if cell is a number. TRUE/FALSE ISODD Test if cell value is odd. TRUE/FALSE ISREF Test if cell value is a reference. TRUE/FALSE ISTEXT Test if cell is text. TRUE/FALSE N Converts a value to a number. NA Returns the error: #N/A. TYPE Returns the type of value in a cell. Math yes ABS Calculates the absolute value of a number. AGGREGATE Define and perform calculations for a database or a list. CEILING Rounds a number up, to the nearest specified multiple. COS Returns the cosine of an angle. DEGREES Converts radians to degrees. DSUM Sums database records that meet certain criteria. EVEN Rounds to the nearest even integer. EXP Calculates the exponential value for a given number. FACT Returns the factorial. FLOOR Rounds a number down, to the nearest specified multiple. GCD Returns the greatest common divisor. INT Rounds a number down to the nearest integer. LCM Returns the least common multiple. LN Returns the natural logarithm of a number. LOG Returns the logarithm of a number to a specified base. LOG10 Returns the base-10 logarithm of a number. MOD Returns the remainder after dividing. MROUND Rounds a number to a specified multiple. ODD Rounds to the nearest odd integer. PI The value of PI. POWER Calculates a number raised to a power. PRODUCT Multiplies an array of numbers. QUOTIENT Returns the integer result of division. RADIANS Converts an angle into radians. RAND Calculates a random number between 0 and 1. RANDBETWEEN Calculates a random number between two numbers. ROUND Rounds a number to a specified number of digits. ROUNDDOWN Rounds a number down (towards zero). ROUNDUP Rounds a number up (away from zero). SIGN Returns the sign of a number. SIN Returns the sine of an angle. SQRT Calculates the square root of a number. SUBTOTAL Returns a summary statistic for a series of data. SUM Adds numbers together. SUMIF Sums numbers that meet a criteria. SUMIFS Sums numbers that meet multiple criteria. SUMPRODUCT Multiplies arrays of numbers and sums the resultant array. TAN Returns the tangent of an angle. TRUNC Truncates a number to a specific number of digits. Stats yes AVERAGE Averages numbers. AVERAGEA Averages numbers. Includes text & FALSE =0, TRUE =1. AVERAGEIF Averages numbers that meet a criteria. AVERAGEIFS Averages numbers that meet multiple criteria. CORREL Calculates the correlation of two series. COUNT Counts cells that contain a number. COUNTA Count cells that are non-blank. COUNTBLANK Counts cells that are blank. COUNTIF Counts cells that meet a criteria. COUNTIFS Counts cells that meet multiple criteria. FORECAST Predict future y-values from linear trend line. FREQUENCY Counts values that fall within specified ranges. GROWTH Calculates Y values based on exponential growth. INTERCEPT Calculates the Y intercept for a best-fit line. LARGE Returns the kth largest value. LINEST Returns statistics about a trendline. MAX Returns the largest number. MEDIAN Returns the median number. MIN Returns the smallest number. MODE Returns the most common number. PERCENTILE Returns the kth percentile. PERCENTILE.INC Returns the kth percentile. Where k is inclusive. PERCENTILE.EXC Returns the kth percentile. Where k is exclusive. QUARTILE Returns the specified quartile value. QUARTILE.INC Returns the specified quartile value. Inclusive. QUARTILE.EXC Returns the specified quartile value. Exclusive. RANK Rank of a number within a series. RANK.AVG Rank of a number within a series. Averages. RANK.EQ Rank of a number within a series. Top Rank. SLOPE Calculates the slope from linear regression. SMALL Returns the kth smallest value. STDEV Calculates the standard deviation. STDEV.P Calculates the SD of an entire population. STDEV.S Calculates the SD of a sample. STDEVP Calculates the SD of an entire population TREND Calculates Y values based on a trendline. Text yes CHAR Returns a character specified by a code. CLEAN Removes all non-printable characters. CODE Returns the numeric code for a character. CONCATENATE Combines text together. DOLLAR Converts a number to text in currency format. EXACT Test if cells are exactly equal. Case-sensitive. TRUE/FALSE FIND Locates position of text within a cell.Case-sensitive. LEFT Truncates text a number of characters from the left. LEN Counts number of characters in text. LOWER Converts text to lower case. MID Extracts text from the middle of a cell. PROPER Converts text to proper case. REPLACE Replaces text based on it’s location. REPT Repeats text a number of times. RIGHT Truncates text a number of characters from the right. SEARCH Locates position of text within a cell.Not Case-sensitive. SUBSTITUTE Finds and replaces text. Case-sensitive. TEXT Converts a value into text with a specific number format. TRIM Removes all extra spaces from text. UPPER Converts text to upper case. VALUE Converts a number stored as text into a number.