Trigonometric Identities Question 255

Question: $ \sin 15{}^\circ +\cos 105{}^\circ = $

[MP PET 1992]

Options:

A) 0

B) $ 2\sin 15{}^\circ $

C) $ \cos 15{}^\circ +\sin 15{}^\circ $

D) $ \sin 15{}^\circ -\cos 15{}^\circ $

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Answer:

Correct Answer: A

Solution:

$ \sin 15{}^\circ +\cos 105{}^\circ $ $ \sin 15{}^\circ +\cos (90{}^\circ +15{}^\circ )=\sin 15{}^\circ -\sin 15{}^\circ =0 $ .