Sine - SIN
1. Overview
| Syntax | SIN(number) | Returns the sine of a given angle. |
|---|---|---|
| Parameter | number | The angle in radians for which you want the sine If the parameter value is in degrees, you should multiply it by PI()/180 to convert it to radians. |
| Returned Value | Numeric | / |
2. Example
| Formula | Result |
|---|---|
| SIN(10) | -0.544021111 |
SIN(45*PI()/180) | 0.707106781 |
Cosine - COS
1. Overview
| Syntax | COS(number) | Returns the cosine of a given angle. |
|---|---|---|
| Parameter | number | The angle in radians for which you want the cosine If the parameter value is in degrees, you should multiply it by PI()/180 to convert it to radians. |
| Returned Value | Numeric | / |
2. Example
| Formula | Result |
|---|---|
| COS(0.5) | 0.877582562 |
COS(30*PI()/180) | 0.866025404 |
Tangent - TAN
1. Overview
| Syntax | TAN(number) | Returns the tangent of a given angle. |
|---|---|---|
| Parameter | number | The angle in radians for which you want the tangent If the parameter value is in degrees, you should multiply it by PI()/180 to convert it to radians. |
| Returned Value | Numeric | / |
2. Example
| Formula | Result |
|---|---|
| TAN(0.8) | 1.029638557 |
TAN(45*PI()/180) | 1 |
Hyperbolic Sine - SINH
1. Overview
| Syntax | SINH(number) | Returns the hyperbolic sine of a number. |
|---|---|---|
| Parameter | number | Any real number |
| Returned Value | Numeric | / |
2. Example
| Formula | Result |
|---|---|
SINH(1) | 1.175201194 |
SINH(-1) | -1.175201194 |
Hyperbolic Cosine - COSH
1. Overview
| Syntax | COSH(number) | Returns the hyperbolic cosine of a number. The formula for the hyperbolic cosine is: COSH(number) = (e^x + e^(-x))/2, where e is the base of the natural logarithm and approximately equals 2.71828182845904. |
|---|---|---|
| Parameter | number | The real number for which you want the hyperbolic cosine |
| Returned Value | Numeric | / |
| Formula | Result |
|---|---|
| COSH(3) | 10.06766200 |
COSH(5) | 74.20994852 |
COSH(6) | 201.7156361 |
Hyperbolic Tangent - TANH
1. Overview
| Syntax | TANH(number) | Returns the hyperbolic tangent of a number. |
|---|---|---|
| Parameter | number | Any real number |
| Reurned Value | Numeric | / |
| Formula | Result |
|---|---|
| TANH(-2) | -0.96403 |
TANH(0) | 0 |
TANH(0.5) | 0.462117 |
Arcsine - ASIN
1.Overview
| Syntax | ASIN(number) | Returns the arcsine of a number. The returned arcsine value is an angle given in radians. |
|---|---|---|
| Parameter | number | The sine of the angle for which you want the arcsine The given number must be between -1 and 1 (inclusive). |
| Returned Value | Numeric | The returned angle is between -pi/2 to pi/2 (inclusive). To express the returned angle in degrees, you should multiply the result by 180/PI(). |
| Formula | Result |
|---|---|
| ASIN(0.5) | 0.523598776 (pi/6 radians) |
ASIN(1) | 1.570796327 (pi/2 radians) |
ASIN(0.5)*180/PI() | 30 (degrees) |
Arccosine - ACOS
1. Overview
| Syntax | ACOS(number) | Returns the arccosine of a number. The returned arccosine value is an angle given in radians. |
|---|---|---|
| Parameter | number | The cosine of the angle for which you want the arccosine The given number must be between -1 and 1 (inclusive). |
| Returned Value | Numeric | The returned angle value is between 0 and pi. To display the returned angle in degrees, you should multiply it by 180/PI(). |
2. Example
| Formula | Result |
|---|---|
| ACOS(1) | 0 (radians) |
ACOS(0.5) | 1.047197551 (pi/3 radians) |
ACOS(0.5)*180/PI() | 60 (degrees) |
Arctangent - ATAN
1. Overview
| Syntax | ATAN(number) | Returns the arctangent of a given number. The given number is the tangent of the returned angle expressed in radians. |
|---|---|---|
| Parameter | number | the tangent of the returned angle |
| Returned Value | Numeric | The returned angle is between -pi/2 and pi/2 (exclusive). If the returned angle equals -pi/2 or and pi/2, the ATAN() function returns the error: "*NUM!". To express the returned angle in degrees, you should multiply the result by 180/PI(). |
2. Example
| Formula | Result |
|---|---|
ATAN(-1) | -0.785398163 (-pi/4 radians) |
ATAN(0) | 0 (radians) |
ATAN(2)*180/PI() | 63.43494882 (degrees) |
The Arctangent Value of X and Y Coordinates - ATAN2
1. Overview
| Syntax | ATAN2(x_num,y_num) | Returns the arctangent value of the given x and y coordinates. The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and the point (x_num, y_num). The angle is given in radians. |
|---|---|---|
| Parameter | number | X_num: the x-coordinate of the specified point Y_num: the y-coordinate of the specified point |
| Returned Value | Numeric | A positive result represents a counterclockwise angle from the x-axis; a negative result represents a clockwise angle. ATAN2(a,b)=ATAN(b/a), except when a equals 0. If both x_num and y_num are 0, the ATAN2() function returns the error: "*DIV/0!". To express the returned angle in degrees, you should multiply the result by 180/PI(). The returned value is expressed in radians between -pi and pi, excluding -pi. |
2. Example
| Formula | Result |
|---|---|
| ATAN2(-2,2) | 2.356194490192345 (3 * pi/4 radians) |
ATAN2(2,2) | 0.785398163 (pi/4 radians) |
ATAN2(-2,2)*180/PI() | 135 (degrees) |
Inverse Hyperbolic Sine - ASINH
1. Overview
| Syntax | ASINH(number) | Returns the inverse hyperbolic sine of a given number. The hyperbolic sine of the inverse hyperbolic sine of a specified number equals that number. That is: ASINH(SINH(number)) = number. |
|---|---|---|
| Parameter | number | Any real number |
| Returned Value | Numeric | / |
2. Example
| Formula | Result |
|---|---|
| ASINH(-5) | -2.312438341 |
ASINH(8) | 2.776472281 |
ASINH(16) | 3.466711038 |
Inverse Hyperbolic Cosine - ACOSH
1. Overview
Syntax | ACOSH(number) | Returns the inverse hyperbolic cosine of a given number. |
Parameter | number | The hyperbolic cosine of the returned value The value must be greater than or equal to 1. ACOSH(COSH(number))=number |
Returned Value | Numeric | / |
2.Example
Formula | Result |
ACOSH(1) | 0 |
ACOSH(8) | 2.768659383 |
ACOSH(5.5) | 2.389526435 |
Inverse Hyperbolic Tangent - ATANH
1. Overview
| Syntax | ATANH(number) | Returns the inverse hyperbolic tangent of a given number. The given number is the hyperbolic tangent of the returned value. |
|---|---|---|
| Parameter | number | a real number between -1 and 1 The given number must be between -1 to 1 (exclusive). ATANH(TANH(number))=number, for example, ATANH(TANH(8))=8. |
| Returned Value | Numeric | / |
2.Example:
| Formula | Result |
|---|---|
| ATANH(-0.5) | -0.549306144 |
ATANH(0) | 0 |
ATANH(0.7) | 0.867300528 |
Converting Radians to Degrees - DEGREES
1. Overview
| Syntax | DEGREES(angle) | Converts radians to degrees |
|---|---|---|
| Parameter | angle | The angle in radians to be converted |
| Returned Value | Numeric | / |
2. Example:
| Formula | Result |
|---|---|
| DEGREES(PI()/2) | 90 |
DEGREES(3.1415926) | 180 |
Converting Degrees to Radians - RADIANS
1. Overview
| Syntax | RADIANS(angle) | Converts degrees to radians |
|---|---|---|
| Parameter | angle | The angle in degrees to be converted |
| Returned Value | Numeric | / |
2. Example:
| Formula | Result |
|---|---|
| ASIN(1) | 1.570796327 (pi/2 radians) |