જો $\frac{1-\tan \theta}{1+\tan \theta}=\frac{1}{\sqrt{3}}$,જ્યાં $\theta \in \left(0, \frac{\pi}{2}\right)$,તો $\theta=$

  • A
    $\frac{\pi}{12}$
  • B
    $\frac{\pi}{4}$
  • C
    $\frac{\pi}{6}$
  • D
    $\frac{\pi}{3}$

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$\cos \alpha \sin (\beta - \gamma ) + \cos \beta \sin (\gamma - \alpha ) + \cos \gamma \sin (\alpha - \beta ) = $

જો $A=35^{\circ}, B=15^{\circ}$ અને $C=40^{\circ}$ હોય,તો $\tan A \cdot \tan B+\tan B \cdot \tan C+\tan C \cdot \tan A$ ની કિંમત શોધો.

જો બે લઘુકોણ $A$ અને $B$ એવા હોય કે $A \neq B$ અને $\frac{x}{y}=\frac{\cos A}{\cos B}$,તો $\frac{x \tan A-y \tan B}{x+y}=$

$\cos 12^\circ + \cos 84^\circ + \cos 156^\circ + \cos 132^\circ$ નું મૂલ્ય શોધો.

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

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