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Trigonometric Ratio and Identites question

2010 · Shift 0 · Q47

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2010 · Shift 0 · Q47

Trigonometric Ratio and Identites question

2010 · Shift 0 · Q47

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

Let

\cos \left( {\alpha + \beta } \right) = {4 \over 5}

and

\sin \,\,\,\left( {\alpha - \beta } \right) = {5 \over {13}},

where

0 \le \alpha ,\,\beta \le {\pi \over 4}.

Then

tan\,2\alpha

=

A
${56 \over 33}$
B
${19 \over 12}$
C
${20 \over 7}$
D
${25 \over 16}$

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