Trigonometric Identities Question 16

Question: The value of $ \sin 10{}^\circ +\sin 20{}^\circ +\sin 30{}^\circ +…+ $ $ \sin 360{}^\circ $ is

[Pb. CET 2003]

Options:

A) 1

B) 0

C) - 1

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Since $ \sin 190{}^\circ =-\sin 10{}^\circ ,\ \sin 200{}^\circ =-\sin 20{}^\circ , $ $ \sin 210{}^\circ =-\sin 30{}^\circ ,\ \sin 360{}^\circ =\sin 180{}^\circ =0 $ etc.