MCQs of Inverse Trigonometric Functions

Showing 81 to 90 out of 135 Questions

81.

\sin^{- 1} \frac{3}{5} + \cos^{- 1} (_____) = c o t^{- 1} (\frac{7}{24})

82.

I f \sin^{- 1} x + \sin^{- 1} y + \sin^{- 1} z = π, t h e n x \sqrt{1 - x^{2}} + y \sqrt{1 - y^{2}} + z \sqrt{1 - z^{2}} =_____.

83.

\sin^{- 1} (2 x \sqrt{1 - x^{2}}) = 2 \sin^{- 1} x, w h e r e_____.

84.

The range of tan^-1 is _____

85.

\sin^{- 1} (\frac{2 x}{1 + x^{2}}) = 2_____, | x | \leq 1 .

86.

\tan^{- 1} (\frac{\sqrt{1 + \cos x} + \sqrt{1 - \cos x}}{\sqrt{1 + \cos x} - \sqrt{1 - \cos x}}) =_____, π < x < \frac{3 π}{2}

87.

\tan^{- 1} (\frac{\sqrt{1 + x^{2}} + \sqrt{1 - x^{2}}}{\sqrt{1 + x^{2}} - \sqrt{1 - x^{2}}}) =_____+ \frac{1}{2} \cos^{- 1} x^{2}, - 1 < x < 1, x \neq 0

88.

\sin^{- 1} (\frac{\sin x + \cos x}{\sqrt{2}}) =_____, - \frac{π}{4} < x < \frac{π}{4}

89.

I f \sin^{- 1} x = \frac{π}{7} f o r s o m e x \in (- 1, 1), t h e n t h e v a l u e o f \cos^{- 1} x =____.

90.

T h e d o m a i n o f \cos^{- 1} i s_____.

Showing 81 to 90 out of 135 Questions