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$1 - 2{\sin ^2}\left( {\frac{\pi }{4} + \theta } \right) = $

જો $2 \sin \left(\theta+\frac{\pi}{3}\right)=\cos \left(\theta-\frac{\pi}{6}\right)$ હોય,તો $\tan \theta=$

સાબિત કરો કે $\frac{\sin x-\sin y}{\cos x+\cos y}=\tan \left(\frac{x-y}{2}\right)$

$\sin 75^\circ = $

જો $\sin x + \sin y = \frac{1}{2}$ અને $\cos x + \cos y = 1$ હોય,તો $\tan(x + y) = $

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