frac{sin theta + sin 2theta }{1 + cos theta + | vedclass

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Question

(C) Given expression: $\frac{\sin 	heta + \sin 2	heta }{1 + \cos 	heta + \cos 2	heta }$Using trigonometric identities: $\sin 2	heta = 2\sin 	het

Vedclass · Accepted Answer

$	an 	heta $

Vedclass · Answer

(C) Given expression: $\frac{\sin 	heta + \sin 2	heta }{1 + \cos 	heta + \cos 2	heta }$Using trigonometric identities: $\sin 2	heta = 2\sin 	heta \cos 	heta$ and $\cos 2	heta = 2\cos^2 	heta - 1$.Substitute these into the expression:$= \frac{\sin 	heta + 2\sin 	heta \cos 	heta }{1 + \cos 	heta + (2\cos^2 	heta - 1)}$$= \frac{\sin 	heta (1 + 2\cos 	heta )}{\cos 	heta + 2\cos^2 	heta }$$= \frac{\sin 	heta (1 + 2\cos 	heta )}{\cos 	heta (1 + 2\cos 	heta )}$$= \frac{\sin 	heta }{\cos 	heta } = 	an 	heta $.Thus,the correct option is $C$.

$\frac{\sin \theta + \sin 2\theta }{1 + \cos \theta + \cos 2\theta } = $

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