MCQs of Inverse Trigonometric Functions

Showing 71 to 80 out of 135 Questions

71.

t a n^{- 1} \frac{1}{7} + t a n^{- 1} x = t a n^{- 1} \frac{2}{9} t h e n x =_____.

72.

\tan^{- 1} \frac{1}{3} + m \tan^{- 1} \frac{1}{7} = \frac{π}{8} . ༜ m =_____.

73.

\tan^{- 1} \frac{1}{5} + \tan^{- 1} \frac{1}{7} + \tan^{- 1} \frac{1}{3} +_____= \frac{π}{4}

74.

I f \tan^{- 1} x + \tan^{- 1} y + \tan^{- 1} z = π, t h e n_____.

75.

If \cot^{- 1} \frac{1}{x} + \cot^{- 1} \frac{1}{y} + \cot^{- 1} \frac{1}{z} =______, then xy + yz + zx = 1 .

76.

If a > b > c > 0, then \cot^{- 1} (\frac{ab + 1}{a - b}) + \cot^{- 1} (\frac{bc + 1}{b - c}) + \cot^{- 1} (\frac{ca + 1}{c - a}) =_____.

77.

\tan (\frac{π}{4} + \frac{1}{2} \cos^{- 1} \frac{a}{b}) + \tan (\frac{π}{4} - \frac{1}{2} \cos^{- 1} \frac{a}{b}) =_____.

78.

\sum_{r = 1}^{n} \tan^{- 1} (\frac{1}{1 + r (r + 1)}) =_____- \frac{π}{4}

79.

c o t^{- 1} 1 + \tan^{- 1} 2 + c o t^{- 1} (_____) = π

80.

\cos^{- 1} \frac{4}{5} + \sin^{- 1} \frac{5}{13} = c o t^{- 1} (_____)

Showing 71 to 80 out of 135 Questions