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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

0.28

$Since, 2 \cos^{- 1} (x) = \cos^{- 1} (2 x^{2} - 1) ∴ 2 \cos^{- 1} (0.8) = \cos^{- 1} (2 \times 0.64 - 1) = \cos^{- 1} (0.28) \Rightarrow \cos (2 \cos^{- 1} (0.8)) = \cos (\cos^{- 1} (0.28)) = 0.28$

12.

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

$\frac{2}{3}$
$\frac{3}{4}$
$\frac{3}{8}$
$\frac{1}{9}$

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Multiple Choice Questions

11. What is the value of cos2cos-10.8 ? 0.81 0.56 0.48 0.28

11.
What is the value of $\cos (2 \cos^{- 1} (0.8)) ?$

0.81

0.56

0.48

0.28