tan theta sin left( frac{pi }{2} + theta righ | vedclass

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Question

(D) Given expression: $	an 	heta \sin \left( \frac{\pi }{2} + 	heta ight) \cos \left( \frac{\pi }{2} - 	heta ight)$Using trigonometric identit

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(D) Given expression: $	an 	heta \sin \left( \frac{\pi }{2} + 	heta ight) \cos \left( \frac{\pi }{2} - 	heta ight)$Using trigonometric identities:$\sin \left( \frac{\pi }{2} + 	heta ight) = \cos 	heta$$\cos \left( \frac{\pi }{2} - 	heta ight) = \sin 	heta$Substituting these into the expression:$= 	an 	heta \cdot \cos 	heta \cdot \sin 	heta$$= \frac{\sin 	heta}{\cos 	heta} \cdot \cos 	heta \cdot \sin 	heta$$= \sin^2 	heta$Since $\sin^2 	heta$ is not equal to any of the given constant options,the correct answer is None of these.

$\tan \theta \sin \left( \frac{\pi }{2} + \theta \right) \cos \left( \frac{\pi }{2} - \theta \right) = $

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