CBSE Class 12 Maths Inverse Trigonometric Functions Quiz 1

1. sin(sin\(\frac{2π}{3}\)) =

A \(\frac{2π}{3}\) B \(\frac{π}{6}\) C \(\frac{4π}{3}\) D \(\frac{π}{3}\)

2. sin(1 – x) – 2 sinx = \(\frac{π}{2}\) then x = ?

A 0, \(\frac{1}{2}\) B 1, \(\frac{1}{2}\) C \(\frac{1}{2}\) D 0

3. tan√3 – sec(-2)

A π B –\(\frac{π}{3}\), 0 C \(\frac{π}{3}\) D \(\frac{2π}{3}\)

4. sin(secx + cosecx) =

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

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

A \(\frac{2π}{3}\) B \(\frac{π}{6}\) C \(\frac{π}{4}\) D \(\frac{π}{3}\)

6. Simplified form of cos(4x– 3x)

A 3 sinx B 3 cosx C π – 3 sinx D None of these

7. The value of tan(tan\(\frac{4}{5}\) + tan\(\frac{2}{3}\)) is

A \(\frac{6}{17}\) B \(\frac{7}{16}\) C \(\frac{17}{6}\) D None of these

8. The value of x for which sin |cot

A \(\frac{2}{1}\) B 1 C 0 D \(\frac{1}{2}\)

9. Princal value of cos(\(\frac{-1}{√2}\))

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

10. tan √3 – sec(-2) is equal to

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