Value of sin 10° + sin 20° + sin 30° + ... + sin 360° is

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3.Trigonometrical Ratios, Functions and Identities

easy

The value of $\sin 10^\circ + \sin 20^\circ + \sin 30^\circ + ... + $ $\sin 360^\circ $ is

A

$1$

B

$0$

C

$-1$

D

None of these

Solution

(b) Since $\sin 190^\circ = – \sin 10^\circ ,\;\sin 200^\circ = – \sin 20^\circ ,$

$\sin 210^\circ = – \sin 30^\circ ,\;\sin 360^\circ = \sin 180^\circ = 0$ $etc.$

Standard 11

Mathematics

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