CBSE Class 12 Maths Inverse Trigonometric Functions Quiz 4

1. The value of sin (2 tan(.75)) is equal to

A .75 B 1.5 C .96 D sin 1.5

2. The value of cos (cos\(\frac{3π}{2}\)) is equal to

A \(\frac{π}{2}\) B \(\frac{3π}{2}\) C \(\frac{5π}{2}\) D –\(\frac{7π}{2}\)

3. The value of expression 2 sec 2 + sin(\(\frac{1}{2}\)) is

A \(\frac{π}{6}\) B \(\frac{5π}{6}\) C \(\frac{7π}{6}\) D 1

4. The value of sin [cos

A \(\frac{25}{24}\) B \(\frac{25}{7}\) C \(\frac{24}{25}\) D \(\frac{7}{24}\)

5. The number of real solution of the equation is \(\sqrt{1+cos 2x}\) = √2 cos (cos x) in [\(\frac{π}{2}\), π] is

A 0 B 1 C 2 D None of these

6. If cos x > sin x, then

A \(\frac{1}{√2}\) < x ≤ 1 B 0 ≤ x < \(\frac{1}{√2}\) C -1 ≤ x < \(\frac{1}{√2}\) (d) x > 0

7. sin(\(\frac{-1}{2}\))

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

8. sec(\(\frac{-2}{√3}\))

A \(\frac{π}{6}\) B \(\frac{π}{3}\) C \(\frac{5π}{6}\) D –\(\frac{2π}{3}\)

9. cos(\(\frac{1}{2}\))

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

10. cosec(\(\frac{-2}{√3}\))

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