$\frac{1+\sin \theta-\cos \theta}{1+\sin \theta+\cos \theta}$ ની કિંમત શોધો.

  • A
    $\cot \left(\frac{\theta}{2}\right)$
  • B
    $\tan \left(\frac{\theta}{2}\right)$
  • C
    $\sec \left(\frac{\theta}{2}\right)$
  • D
    $cosec \left(\frac{\theta}{2}\right)$

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$\cos \frac{2\pi}{28} \csc \frac{3\pi}{28} + \cos \frac{6\pi}{28} \csc \frac{9\pi}{28} + \cos \frac{18\pi}{28} \csc \frac{27\pi}{28}$ નું ચોક્કસ મૂલ્ય કેટલું થાય?

$\tan \frac{2\pi}{5} - \tan \frac{\pi}{15} - \sqrt{3} \tan \frac{2\pi}{5} \tan \frac{\pi}{15}$ ની કિંમત શોધો.

જો $\frac{\pi}{2} < \alpha < \pi$ અને $\pi < \beta < \frac{3\pi}{2}$,જ્યાં $\sin \alpha = \frac{15}{17}$ અને $\tan \beta = \frac{12}{5}$ હોય,તો $\sin(\beta - \alpha)$ ની કિંમત શોધો. ($/221$ માં)

ધારો કે $A$ અને $B$ વિધાનો છે:
$A: \cos \alpha + \cos \beta + \cos \gamma = 0$
$B: \sin \alpha + \sin \beta + \sin \gamma = 0$
જો $\cos (\alpha - \beta) + \cos (\beta - \gamma) + \cos (\gamma - \alpha) = -\frac{3}{2}$ હોય,તો:

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જો $\sin (\theta + \alpha ) = a$ અને $\sin (\theta + \beta ) = b$ હોય,તો $\cos 2(\alpha - \beta ) - 4ab\cos (\alpha - \beta )$ ની કિંમત શોધો.

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