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Trigonometric Ratio and Identites question

2020 · 8 Jan · Shift 2 · Q29

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2020 · 8 Jan · Shift 2 · Q29

Trigonometric Ratio and Identites question

2020 · 8 Jan · Shift 2 · Q29

JEE MainMathematicsTrigonometric Ratio and IdentitesNumerical+4 / −1

If

{{\sqrt 2 \sin \alpha } \over {\sqrt {1 + \cos 2\alpha } }} = {1 \over 7}

and

\sqrt {{{1 - \cos 2\beta } \over 2}} = {1 \over {\sqrt {10} }}\alpha ,\beta \in \left( {0,{\pi \over 2}} \right)

then tan(

\alpha

+ 2

\beta

) is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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