JEE Main 2010Annual, Paper 1MathematicsMediumTrigonometry118× since 2002Let cos(α+β)=45\cos \left( {\alpha + \beta } \right) = {4 \over 5}cos(α+β)=54 and sin (α−β)=513,\sin \,\,\,\left( {\alpha - \beta } \right) = {5 \over {13}},sin(α−β)=135, where 0≤α, β≤π4.0 \le \alpha ,\,\beta \le {\pi \over 4}.0≤α,β≤4π. Then tan 2αtan\,2\alphatan2α =AOption A. 5633{56 \over 33}3356BOption B. 1912{19 \over 12}1219COption C. 207{20 \over 7}720DOption D. 2516{25 \over 16}1625CheckSkip · show solution
