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Inverse Trigonometric Functions

Multiple Choice Questions

11.

What is the value of $\cos (2 \cos^{- 1} (0.8)) ?$

0.81
0.56
0.48
0.28

12.
What is $\tan \{2 \tan^{- 1} (\frac{1}{3})\} = ?$

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{3}{8}$

$\frac{1}{9}$

$\frac{3}{4}$

$We have, \tan \{2 \tan^{- 1} (\frac{1}{3})\} \Rightarrow \tan \{\tan^{- 1} (\frac{2 \times \frac{1}{3}}{1 - {(\frac{1}{3})}^{2}})\} \Rightarrow \tan \{\tan^{- 1} (\frac{\frac{2}{3}}{\frac{8}{9}})\} \Rightarrow \frac{3}{4}$

Previous Year Papers

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Multiple Choice Questions

12. What is tan2tan-113 = ? 23 34 38 19

12.
What is $\tan \{2 \tan^{- 1} (\frac{1}{3})\} = ?$

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{3}{8}$

$\frac{1}{9}$