$\sqrt {\frac{{1 - \sin A}}{{1 + \sin A}}} = $

  • A

    $\sec A + \tan A$

  • B

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

  • C

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

  • D

    $\tan \left( {\frac{\pi }{4} - \frac{A}{2}} \right)$

Similar Questions

 $(sinx + cosecx)^2 + (cosx + secx)^2 - ( tanx + cotx)^2$ =

${\sin ^2}\frac{\pi }{8} + {\sin ^2}\frac{{3\pi }}{8} + {\sin ^2}\frac{{5\pi }}{8} + {\sin ^2}\frac{{7\pi }}{8} = $

જો $A, B, C$ એ ત્રણ ખૂણા છે કે જેથી  $sinA + sinB + sinC = 0,$ થાય તો 

$ \frac {sinAsin BsinC}{(sin 3A+ sin 3B+ sin 3C)}$ (wherever definied)=

$\frac{{\cos 12^\circ - \sin 12^\circ }}{{\cos 12^\circ + \sin 12^\circ }} + \frac{{\sin 147^\circ }}{{\cos 147^\circ }} = $

જો $\alpha + \beta = \frac{\pi }{2}$ અને $\beta + \gamma = \alpha ,$ તો  $\tan \,\alpha $ મેળવો.

  • [IIT 2001]