Inverse Trigonometric Calculator

Instantly compute the angle corresponding to a trigonometric value. Features dynamic unit circle visual projection and supports arcsin, arccos, arctan, arccsc, arcsec, and arccot.

Inverse Inputs

XY

Calculated Values

FORMULAθ = arcsin(x)Domain: -1 ≤ x ≤ 1
Calculated Angle (θ)30Degrees (°)
Angle in Degrees30°
Angle in Radians0.523599 rad
Sine (sin θ)0.5
Cosine (cos θ)0.866025
Tangent (tan θ)0.57735
Input Value (x)0.5

What are Inverse Trigonometric Functions?

Inverse trigonometric functions (often called arcus functions or anti-trigonometric functions) are the inverse functions of the basic trigonometric functions. They are used to find the angle θ when the value of the trigonometric ratio is known.

θ = sin⁻¹(x) ⟺ sin(θ) = x

For example, because sin(30°) = 0.5, the inverse sine of 0.5 yields 30°: arcsin(0.5) = 30°.

Domain Limitations

Functions like Arcsine (sin⁻¹) and Arccosine (cos⁻¹) only accept values between -1 and 1. Inputting a value outside this range will result in an undefined output.

Principal Valued Range

Because trigonometric functions are periodic, their inverses are restricted to specific ranges (principal branches) to maintain unique outputs, e.g. [-90°, 90°] for arcsin.