If the value of is then value of is

JEE MainMathematicsEasyITF

If the value of
$sin(2\tan^{- 1}\frac{1}{3}) + cos(\tan^{- 1}2\sqrt{2})$ is $\lambda$
then value of $\frac{15}{7}\lambda$ is

Show answer and solution

sin\lbrack\sin^{- 1}(\frac{2(1/3)}{1 + 1/9})\rbrack + \frac{1}{\sqrt{1 + (2\sqrt{2})^{2}}}

= \frac{2}{3} \times \frac{9}{10} + \frac{1}{3} = \frac{14}{15}

Source: Grass-G / M-17 Mathematics Paper 26 Nov Second.docx

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