Summary

SUMMARY

Inverse Trigonometric Functions

Properties of Inverse Trigonometric Functions

Property-I

Property-II

Property-III (Reciprocal inverse identities)

Property-IV(Reflection identities)

(i) sin^-1 (-x) = - sin^-1 x ,if x ∈ [-1, 1] .

(ii)  tan^-1 (-x) = - tan^-1 x ,if x ∈ R.

(iii) cosec^-1 (-x) = - cosec^-1 x ,if |x| ≥ 1 or x ∈ R \ (-1, 1) .

(iv) cos^-1 (-x) = π - cos^-1 x ,if x ∈  [-1, 1] .

(v) sec^-1 (-x) = π - sec^-1 x ,if |x| ≥ 1 or x ∈ R \ (-1, 1) .

(vi) cot^-1(-x) = π - cot^-1 x , if x ∈ R .

Property-V ( Cofunction inverse identities )

Property-VI

Property-VII

Property-VIII

Property-IX

Property-X