જો $x\, sin \theta = y\, sin \, \left( {\theta \,\, + \,\,\frac{{2\,\pi }}{3}} \right) = z\, sin \, \left( {\theta \,\, + \,\,\frac{{4\,\pi }}{3}} \right)$ હોય તો 

  • A

    $x + y + z = 0$

  • B

    $xy + yz + zx = 0$

  • C

    $xyz + x + y + z = 1$

  • D

    none

Similar Questions

જો $\frac{x}{{\cos \theta }} = \frac{y}{{\cos \left( {\theta - \frac{{2\pi }}{3}} \right)}} = \frac{z}{{\cos \left( {\theta + \frac{{2\pi }}{3}} \right)}},$ તો $x + y + z = $

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

  • [IIT 1975]

ત્રિકોણ $ABC$ માં , ${\sin ^2}\frac{A}{2} + {\sin ^2}\frac{B}{2} + {\sin ^2}\frac{C}{2} = . . . .$

 $cotx - cosx = 1 - cotx. cosx$ માટે  $ x \in \left[ {0,2\pi } \right]$  ............ કિમતો મળે 

${\sin ^4}\frac{\pi }{4} + {\sin ^4}\frac{{3\pi }}{8} + {\sin ^4}\frac{{5\pi }}{8} + {\sin ^4}\frac{{7\pi }}{8} = $