यदि $\tan \,(A + B) = p,\,\,\tan \,(A - B) = q,$ तो $\tan \,2A$ का मान $p$ तथा $q$ के पदों में है

  • A

    $\frac{{p + q}}{{p - q}}$

  • B

    $\frac{{p - q}}{{1 + pq}}$

  • C

    $\frac{{p + q}}{{1 - pq}}$

  • D

    $\frac{{1 + pq}}{{1 - p}}$

Similar Questions

${(\cos \alpha + \cos \beta )^2} + {(\sin \alpha + \sin \beta )^2} = $

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$\sqrt 2  + \sqrt 3  + \sqrt 4  + \sqrt 6  = $

  • [IIT 1975]

$2\,{\sin ^2}\beta + 4\,\,\cos \,(\alpha + \beta )\,\,\sin \,\alpha \,\sin \,\beta + \cos \,2\,(\alpha + \beta ) = $

  • [IIT 1977]

यदि $\tan x = \frac{b}{a},$ तो $\sqrt {\frac{{a + b}}{{a - b}}} + \sqrt {\frac{{a - b}}{{a + b}}} = $