The value of $\tan 7\frac{1}{2}^\circ $ is equal to
The value of $\tan 7\frac{1}{2}^\circ $ is equal to
- A
$\sqrt 6 + \sqrt 3 + \sqrt 2 - 2$
- B
$\sqrt 6 - \sqrt 3 + \sqrt 2 - 2$
- C
$\sqrt 6 - \sqrt 3 + \sqrt 2 + 2$
- D
$\sqrt 6 - \sqrt 3 - \sqrt 2 - 2$
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If $\cos \left( {\alpha + \beta } \right) = \frac{4}{5}$ and $\sin \left( {\alpha - \beta } \right) = \frac{5}{{13}}$,where $0 \le \alpha ,\beta \le \frac{\pi }{4}$ . Then $\tan 2\alpha =$
If $\cos \left( {\alpha + \beta } \right) = \frac{4}{5}$ and $\sin \left( {\alpha - \beta } \right) = \frac{5}{{13}}$,where $0 \le \alpha ,\beta \le \frac{\pi }{4}$ . Then $\tan 2\alpha =$
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If $\sin \alpha = \frac{{336}}{{625}}$ and $450^\circ < \alpha < 540^\circ ,$ then $\sin \left( {\frac{\alpha }{4}} \right) = $
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The value of $\frac{{3 + \cot \,7\,{6^ \circ }\,\cot \,{{16}^ \circ }}}{{\cot \,{{76}^ \circ } + \cot \,{{16}^ \circ }}}$ is :
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