sin 15^circ + cos 105^circ = | vedclass

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Question

(A) Given expression: $\sin 15^\circ + \cos 105^\circ$Using the trigonometric identity $\cos(90^\circ + 	heta) = -\sin 	heta$,we can rewrite $\cos 1

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(A) Given expression: $\sin 15^\circ + \cos 105^\circ$Using the trigonometric identity $\cos(90^\circ + 	heta) = -\sin 	heta$,we can rewrite $\cos 105^\circ$ as:$\cos 105^\circ = \cos(90^\circ + 15^\circ) = -\sin 15^\circ$Substituting this back into the original expression:$\sin 15^\circ + (-\sin 15^\circ) = \sin 15^\circ - \sin 15^\circ = 0$Therefore,the correct option is $A$.

$\sin 15^\circ + \cos 105^\circ = $

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