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જો $\cos \alpha + \cos \beta = \frac{1}{3}$ અને $\sin \alpha + \sin \beta = \frac{1}{4}$ હોય,તો $\cos (\alpha + \beta) = $

$\sin \left(\frac{\pi}{3}+x\right)-\cos \left(\frac{\pi}{6}+x\right) = $

સાબિત કરો કે $\frac{\cos 7x + \cos 5x}{\sin 7x - \sin 5x} = \cot x$.

જો $(1 + \tan \theta )(1 + \tan \phi ) = 2$ હોય,તો $\theta + \phi = \dots ^\circ$

$\sin (x+y) \sec x \sec y=$

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