If sin 2theta + sin 2phi = 1/2 and cos 2 | vedclass

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Question

(b) Given, $\sin 2\,	heta + \sin 2\phi = 1/2$&hellip;..$(i)$ 

and $\cos 2\,	heta + \cos 2\,\varphi = 3/2$&hellip;..$(ii)$ 

Squa

Vedclass · Accepted Answer

$5/8$

Vedclass · Answer

(b) Given, $\sin 2\,	heta + \sin 2\phi = 1/2$&hellip;..$(i)$ 

and $\cos 2\,	heta + \cos 2\,\varphi = 3/2$&hellip;..$(ii)$ 

Square અને adding , 

$	herefore \,({\sin ^2}2	heta + {\cos ^2}2	heta ) + ({\sin ^2}2\phi + {\cos ^2}2\phi  )$

$ + 2\,[\sin 2\,	heta \,\sin 2\,\phi + \cos 2\,	heta \,\cos 2\,\phi ] = 1/4 + 9/4$ 

==> $\cos 2	heta \cos 2\,\phi + \sin 2	heta \sin 2\phi = 1/4$ 

==> $\cos (2	heta - 2\phi ) = 1/4$ 

==> ${\cos ^2}(	heta - \phi ) = 5/8$.

If $\sin 2\theta + \sin 2\phi = 1/2$ and $\cos 2\theta + \cos 2\phi = 3/2$, then ${\cos ^2}(\theta - \phi ) = $

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