CBSE Class 12 Maths Inverse Trigonometric Functions Quiz 2

1. If y = sec x then

A 0 ≤ y ≤ π B 0 ≤ y ≤ \(\frac{π}{2}\) C –\(\frac{π}{2}\) < y < \(\frac{π}{2}\) D None of these

2. If x + \(\frac{1}{x}\) = 2 then the principal value of sin x is x

A \(\frac{π}{4}\) B \(\frac{π}{2}\) C π D \(\frac{3π}{2}\)

3. The principle value of sin(sin\(\frac{2π}{3}\)) is

A \(\frac{2π}{3}\) B \(\frac{π}{3}\) C \(\frac{-π}{6}\) D \(\frac{π}{6}\)

4. Algebraic expression for sin (cot x) is

A \(\frac{1}{1+x^2}\) B \(\frac{1}{\sqrt{1+x^2}}\) C \(\frac{x}{\sqrt{1+x^2}}\) D None of these

5. Princal value of tan (-1) is

A \(\frac{π}{4}\) B \(\frac{-π}{2}\) C \(\frac{5π}{4}\) D \(\frac{-π}{4}\)

6. Principal value of sin(\(\frac{1}{√2}\))

A \(\frac{π}{4}\) B \(\frac{3π}{4}\) C \(\frac{5π}{4}\) D None of these

7. sin x = y Then

A 0 ≤ y ≤ π B –\(\frac{π}{2}\) ≤ y ≤ \(\frac{π}{2}\) C 0 < y < π D –\(\frac{π}{2}\) < y < –\(\frac{π}{2}\)

8. cos(cos\(\frac{7π}{6}\)) is equal to

A \(\frac{7π}{6}\) B \(\frac{5π}{6}\) C \(\frac{π}{3}\) D \(\frac{π}{6}\)

9. sin[\(\frac{π}{3}\) – sin(-\(\frac{1}{2}\))] is equal to

A \(\frac{1}{2}\) B \(\frac{1}{3}\) C \(\frac{1}{4}\) D 1

10. tan\(\frac{1}{2}\) + tan\(\frac{2}{11}\) = tan a then a = ?

A \(\frac{1}{4}\) B \(\frac{1}{2}\) C \(\frac{3}{4}\) D 1