જો $0 < x < \frac{\pi }{4}.$ તો $\sec 2x - \tan 2x = $

  • [IIT 1994]
  • A

    $\tan \left( {x - \frac{\pi }{4}} \right)$

  • B

    $\tan \left( {\frac{\pi }{4} - x} \right)$

  • C

    $\tan \left( {x + \frac{\pi }{4}} \right)$

  • D

    ${\tan ^2}\left( {x + \frac{\pi }{4}} \right)$

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  • [IIT 1964]

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જો $\alpha$, $\beta$,$\gamma$ એ ધન સંખ્યાઓ છે કે જેથી $\alpha + \beta = \pi$  અને $\beta  + \gamma = \alpha$ થાય તો $tan\ \alpha$= ................ (જ્યાં  $\gamma  \ne n\pi ,n \in I$ )