Inverse Trigonometric Functions - arcsin, arccos, arctan

Overview

Inverse trigonometric functions are the inverse of trigonometric functions, used to find the angle from a known trigonometric value.

asin (arcsin): Find angle from sine value, input range [-1, 1], output range [-90°, 90°]
acos (arccos): Find angle from cosine value, input range [-1, 1], output range [0°, 180°]
atan (arctan): Find angle from tangent value, input any real number, output range [-90°, 90°]

Syntax

                
asin(value)    // Calculate arcsine, returns angle

acos(value)    // Calculate arccosine, returns angle

atan(value)    // Calculate arctangent, returns angle

The angle unit of the result depends on the current mode (DEG returns degrees, RAD returns radians)

Examples

Example 1: Calculate arcsin(0.5)

Mode: DEG

Input: asin(0.5)

Result: 30

Because sin(30°) = 0.5

Example 2: Calculate arccos(0.5)

Mode: DEG

Input: acos(0.5)

Result: 60

Because cos(60°) = 0.5

Example 3: Calculate arctan(1)

Mode: DEG

Input: atan(1)

Result: 45

Because tan(45°) = 1

Example 4: Radian mode calculation

Mode: RAD

Input: asin(1)

Result: 1.570796... (π/2)

Important Notes

Input values for asin and acos must be in range [-1, 1], otherwise returns error
atan can accept any real number input
Results may have multiple valid angles, calculator returns principal value
Remember to switch angle mode for different unit results

Overview

Syntax

Examples

Important Notes

Related Topics