Question Bank - Mathematics

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What is the value of sin 0° + sin 10° + sin 20° + sin 30° + ? + sin 360°?

A.
-1
B.
0
C.
1
D.
2

Solution:

Formula used:sin(360° - ?) = - sin ? Calculation:sin 0° + sin 10° + sin 20° + sin 30° + ? + sin 360°? sin 0° + sin 10° + ....+ sin 180° + sin (360 - 170°) + sin (360 - 160°) + .....+ sin (360 - 10°) + sin (360 - 0°) By using the above formula? sin 0° + sin 10° + ......- sin 10° - sin 0° = 0? sin 0° + sin 10° + sin 20° + sin 30° + ? + sin 360° = 0

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