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સાબિત કરો કે: $(\cos x+\cos y)^{2}+(\sin x-\sin y)^{2}=4 \cos ^{2} \frac{x+y}{2}$

$\frac{\tan 52^{\circ} - \tan 38^{\circ}}{\tan 14^{\circ}} = $

$\cos 66^{\circ} + \sin 84^{\circ} = $

$\frac{\sin(B + A) + \cos(B - A)}{\sin(B - A) + \cos(B + A)} = $

જો $\sin x = \frac{3}{5}$ અને $\cos y = -\frac{12}{13}$ હોય,જ્યાં $x$ અને $y$ બંને બીજા ચરણમાં આવેલા હોય,તો $\sin (x+y)$ ની કિંમત શોધો.

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