જો $\alpha$, $\beta$,$\gamma$ એ ધન સંખ્યાઓ છે કે જેથી $\alpha + \beta = \pi$ અને $\beta + \gamma = \alpha$ થાય તો $tan\ \alpha$= ................ (જ્યાં $\gamma \ne n\pi ,n \in I$ )
જો $\alpha$, $\beta$,$\gamma$ એ ધન સંખ્યાઓ છે કે જેથી $\alpha + \beta = \pi$ અને $\beta + \gamma = \alpha$ થાય તો $tan\ \alpha$= ................ (જ્યાં $\gamma \ne n\pi ,n \in I$ )
- A
$ - 2\sqrt {\frac{{\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
- B
$\sqrt {\frac{{2\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
- C
$ - \sqrt {\frac{{2\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
- D
$\sqrt {\frac{{\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
Similar Questions
જો $a{\sin ^2}x + b{\cos ^2}x = c,\,\,$$b\,{\sin ^2}y + a\,{\cos ^2}y = d$ અને $a\,\tan x = b\,\tan y,$ તો $\frac{{{a^2}}}{{{b^2}}} = . . ..$
જો $a{\sin ^2}x + b{\cos ^2}x = c,\,\,$$b\,{\sin ^2}y + a\,{\cos ^2}y = d$ અને $a\,\tan x = b\,\tan y,$ તો $\frac{{{a^2}}}{{{b^2}}} = . . ..$
$\frac{1}{{\tan 3A - \tan A}} - \frac{1}{{\cot 3A - \cot A}} = $
$\frac{1}{{\tan 3A - \tan A}} - \frac{1}{{\cot 3A - \cot A}} = $
$2 \sin \left(\frac{\pi}{22}\right) \sin \left(\frac{3 \pi}{22}\right) \sin \left(\frac{5 \pi}{22}\right) \sin \left(\frac{7 \pi}{22}\right) \sin \left(\frac{9 \pi}{22}\right)$ =
$2 \sin \left(\frac{\pi}{22}\right) \sin \left(\frac{3 \pi}{22}\right) \sin \left(\frac{5 \pi}{22}\right) \sin \left(\frac{7 \pi}{22}\right) \sin \left(\frac{9 \pi}{22}\right)$ =
- [JEE MAIN 2022]
જો $x + y + z = {180^o},$ તો $\cos 2x + \cos 2y - \cos 2z = . . . .$
જો $x + y + z = {180^o},$ તો $\cos 2x + \cos 2y - \cos 2z = . . . .$
$\frac{{\tan {{70}^o} - \tan {{20}^o}}}{{\tan {{50}^o}}} = $
$\frac{{\tan {{70}^o} - \tan {{20}^o}}}{{\tan {{50}^o}}} = $