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Question

Question: \[\sin 15{^\circ} + \cos 105{^\circ} =\]...

sin⁡15∘+cos⁡105∘=\sin 15{^\circ} + \cos 105{^\circ} =

A

0

B

2sin⁡15∘2\sin 15{^\circ}

C

cos⁡15∘+sin⁡15∘\cos 15{^\circ} + \sin 15{^\circ}

D

sin⁡15∘−cos⁡15∘\sin 15{^\circ} - \cos 15{^\circ}

Answer

0

Explanation

Solution

sin⁡15∘+cos⁡105∘\sin 15{^\circ} + \cos 105{^\circ}

sin⁡15∘+cos⁡(90∘+15∘)=sin⁡15∘−sin⁡15∘=0\sin 15{^\circ} + \cos(90{^\circ} + 15{^\circ}) = \sin 15{^\circ} - \sin 15{^\circ} = 0.