Inverse Trigonometric Functions — Chapter Summary

The principal value of an inverse

The principal value of an inverse trigonometric function is the smallest numerical angle within its defined range that satisfies the given ratio. For

Each inverse trigonometric function has

Each inverse trigonometric function has a specific domain (input values) and range (output angles). For instance, y = sin⁻¹x has domain [−1, 1] and ra

Important identities include sin⁻¹x + cos⁻¹x

Important identities include sin⁻¹x + cos⁻¹x = π/2, tan⁻¹x + cot⁻¹x = π/2, and tan⁻¹x + tan⁻¹y = tan⁻¹[(x+y)/(1−xy)] for xy < 1. These help simplify c

The graphs of inverse trigonometric functions

The graphs of inverse trigonometric functions are obtained by reflecting the original trigonometric graphs over the line y = x, but only within restri