# Inverse trigonometric functions

Inverse Sine Function Inverse functions do the opposite of their original function. The input and output of the function are reversed for an inverse function.

**Inverse Trigonometric Functions**

Four Facts About Functions and Their Inverse Functions: Each trigonometric function has a restricted domain for which an inverse function is defined.

Inverse Trig Identities ; Property 1. sin-1 (1/x) = cosec-1x, x ≥ 1 or x ≤ -1; cos-1 (1/x) = sec-1x, x ≥ 1 or x ≤ -1; tan-1 (1/x) = cot-1x, x > 0. Inverse trigonometric functions are used to find angles of a triangle if we are given the lengths of the sides. Inverse trigonometric functions can be used.

or h'(x). The derivatives of the above-mentioned inverse trigonometric functions follow from trigonometry identities, implicit differentiation, and the chain. Recall that a function and its inverse undo each other in either order, for example, (3√x)3=x and 3√x3=x. This does not work with the sine and the "inverse. Everett Community College Tutoring Center. Graphs of Inverse Trig Functions. Domain: [ ]1,1. −. Range. 2 2 π π. ⎡. ⎤. −. ⎢. ⎥. ⎣. ⎦. 2 π. The inverse trigonometric functions of the other ratios i.e., cos, tan, cot, sec and cosec can be defined by taking the suitable domain.

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