MCQs of Inverse Trigonometric Functions

Showing 41 to 50 out of 135 Questions

41.

\sin^{- 1} (\cos (\sin^{- 1} x)) + \cos^{- 1} (\sin (\cos^{- 1} x)) i s_____

42.

co t^{- 1} (\frac{\sqrt{1 - \sin x} + \sqrt{1 + \sin x}}{\sqrt{1 - \sin x} - \sqrt{1 + \sin x}}) =_____(0 < x < \frac{π}{2})

43.

If s i n^{- 1} \frac{1}{x} = 2 t a n^{- 1} \frac{1}{7} + c o s^{- 1} \frac{3}{5}, then x =_____

44.

If α = c o s^{- 1} (\frac{4}{5}), β = t a n^{- 1} (\frac{2}{3}), α, β \in (0, \frac{π}{2}), then α - β =_____

45.

\tan (2 \tan^{- 1} \frac{1}{5} - \frac{π}{4}) =_____

46.

If \sin^{- 1} (1 - x) - 2 \sin^{- 1} x = \frac{π}{2}, then x i s_____

47.

The number of values of x satisfying the equation t a n^{- 1} (x + 1) + t a n^{- 1} x + t a n^{- 1} (x - 1) = t a n^{- 1} 3 x is_____

48.

If c o t^{- 1} x + c o t^{- 1} y + c o t^{- 1} z = \frac{π}{2}, then x + y + z =_____

49.

If s i n^{- 1} (\frac{2 a}{1 + a^{2}}) + s i n^{- 1} (\frac{2 b}{1 + b^{2}}) = 2 t a n^{- 1} x, then x is_____(0 < a, b < 1)

50.

If \sin^{- 1} x + \sin^{- 1} y = \frac{2 π}{3}, then \cos^{- 1} x + \cos^{- 1} y =_____

Showing 41 to 50 out of 135 Questions