JEE Math Practice Question
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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