CBSE · Class 6-12

Class 12 · Mathematics (041)

Unit 2 · Class 12Mathematics (041)

Relations and Functions

Inverse Trigonometric Functions

Domain, range, and principal values of $\sin^{-1}, \cos^{-1}, \tan^{-1}$, and identities.

Lessons

3 concepts

1
Principal Value Branches
$\sin^{-1} x : [-1,1] \to [-\tfrac{\pi}{2}, \tfrac{\pi}{2}]$ ; $\cos^{-1} x : [-1,1] \to [0, \pi]$ .
2
Elementary Identities
$\sin^{-1} x + \cos^{-1} x = \tfrac{\pi}{2}$ ; $\tan^{-1} x + \cot^{-1} x = \tfrac{\pi}{2}$ .
3
Sum & Difference Formulas
$\tan^{-1} x + \tan^{-1} y = \tan^{-1}\dfrac{x + y}{1 - xy}$ (with sign conditions).

Skills to practise

Skill · medium

Inverse Trigonometric Functions — Practice (coming soon)

Practice bank for this unit is in progress. You can still read the lessons above.