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 the identities $\sin 2	heta = 2 \sin 	heta \cos 	het

Vedclass · Accepted Answer

$	an 	heta$

Vedclass · Answer

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

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

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