Class 12 · ICSE · Mathematics

Inverse Trigonometric Functions

Definitions, principal value branches, graphs and the elementary properties of inverse trigonometric functions.

Questions

5 questions in this chapter.

Answer available
Class 12 · Mathematics · Inverse Trigonometric Functions
Find the principal value of sin⁻¹(−1/2) and cos⁻¹(−1/2).
2 marksEasyNumerical
Answer available
Class 12 · Mathematics · Inverse Trigonometric Functions
Evaluate tan⁻¹(√3) − sec⁻¹(−2).
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Inverse Trigonometric Functions
Prove that sin⁻¹x + cos⁻¹x = π/2 for x in [−1, 1].
3 marksMediumStructured
Answer available
Class 12 · Mathematics · Inverse Trigonometric Functions
Write the principal value branch of tan⁻¹x and of cot⁻¹x.
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Inverse Trigonometric Functions
Evaluate tan⁻¹(1) + cos⁻¹(1/2) + sin⁻¹(1/2).
3 marksMediumNumerical