frac{{sin 3theta + sin 5theta + sin 7theta + | vedclass

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Question

(c) $\frac{{\sin \,\,3	heta + \sin \,\,5	heta + \sin \,7	heta + \sin 9	heta }}{{\cos 3	heta + \cos 5	heta + \cos \,7	heta + \cos \,9	heta }}$

Vedclass · Accepted Answer

$	an 6	heta $

Vedclass · Answer

(c) $\frac{{\sin \,\,3	heta + \sin \,\,5	heta + \sin \,7	heta + \sin 9	heta }}{{\cos 3	heta + \cos 5	heta + \cos \,7	heta + \cos \,9	heta }}$

$ = \frac{{(\sin \,3	heta + \sin \,9	heta ) + (\sin \,5	heta + \sin \,7	heta )}}{{(\cos \,3	heta + \cos \,9	heta ) + (\cos \,5	heta + \cos \,7	heta )}}$

$ = \frac{{2\,\sin \,6	heta \,\cos \,3	heta + 2\,\sin \,6	heta \,\cos \,	heta }}{{2\,\cos \,6	heta \,\cos \,3	heta + 2\,\cos \,6	heta \,\cos \,	heta }}$

$ = \frac{{2\,\sin \,6	heta \,(\cos \,3	heta + \cos 	heta )}}{{2\,\cos \,6	heta \,(\cos \,3	heta + \cos 	heta )}}$

$= 	an \,6	heta $.

$\frac{{\sin 3\theta + \sin 5\theta + \sin 7\theta + \sin 9\theta }}{{\cos 3\theta + \cos 5\theta + \cos 7\theta + \cos 9\theta }} = $

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