ICSE question bank

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5 questions

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

ICSE question bank

Find the principal value of sin−1(−1/2) and cos−1(−1/2).

Evaluate tan−1(√3) − sec−1(−2).

Prove that sin−1x + cos−1x = π/2 for x in [−1, 1].

Write the principal value branch of tan−1x and of cot−1x.

Evaluate tan−1(1) + cos−1(1/2) + sin−1(1/2).

Find the principal value of sin⁻¹(−1/2) and cos⁻¹(−1/2).

Evaluate tan⁻¹(√3) − sec⁻¹(−2).

Prove that sin⁻¹x + cos⁻¹x = π/2 for x in [−1, 1].

Write the principal value branch of tan⁻¹x and of cot⁻¹x.

Evaluate tan⁻¹(1) + cos⁻¹(1/2) + sin⁻¹(1/2).