First slide

Properties of ITF

Question

$2 T a n^{- 1} (\frac{1}{2}) + \sin^{- 1} (\frac{3}{5}) =$

Moderate

A

$\frac{π}{4}$
B

$\tan^{- 1} (\frac{25}{12})$
C

$\tan^{- 1} (\frac{12}{25})$
D

$\frac{π}{2}$

Solution

$W e h a v e 2 T a n^{- 1} (\frac{1}{2}) = \cos^{- 1} (\frac{1 - \frac{1}{4}}{1 + \frac{1}{4}}) = \cos^{- 1} (\frac{3}{5}) ∴ 2 T a n^{- 1} (\frac{1}{2}) + \sin^{- 1} (\frac{3}{5}) = \cos^{- 1} (\frac{3}{5}) + \sin^{- 1} (\frac{3}{5}) = \frac{π}{2}$

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