જો $\tan A + \tan B = x$ અને $\cot A + \cot B = y$ હોય,તો $\tan (A + B) =$

  • A
    $\frac{xy}{x-y}$
  • B
    $\frac{xy}{y-x}$
  • C
    $\frac{xy}{x+y}$
  • D
    $\frac{x-y}{xy}$

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સાબિત કરો કે $\cos \left(\frac{\pi}{4}-x\right) \cos \left(\frac{\pi}{4}-y\right)-\sin \left(\frac{\pi}{4}-x\right) \sin \left(\frac{\pi}{4}-y\right)=\sin (x+y)$

સાબિત કરો કે: $\frac{(\sin 7x + \sin 5x) + (\sin 9x + \sin 3x)}{(\cos 7x + \cos 5x) + (\cos 9x + \cos 3x)} = \tan 6x$

$\frac{\tan 80^{\circ}-\tan 10^{\circ}}{\tan 70^{\circ}}$ ની કિંમત શોધો.

જો $\tan \theta = \frac{\sin \alpha - \cos \alpha}{\sin \alpha + \cos \alpha}$ અને $0 \leq \alpha \leq \frac{\pi}{2}$ હોય,તો $\cos 2 \theta$ ની કિંમત શોધો.

$\cos ^4 \frac{\pi}{24} - \sin ^4 \frac{\pi}{24} = $

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