Write the value of sin 10° + sin 20° + sin 30° + ... + sin 360°.

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Solution

$\sin 10 ° + \sin 20 ° + . . . + \sin 170 ° + \sin 180 ° + \sin (360 ° - 170 °) + \sin (360 ° - 160 °) + . . . + \sin (360 ° - 20 °) + \sin (360 ° - 10 °) + \sin 360 ° = \sin 10 ° + \sin 20 ° + . . . + \sin 180 ° - \sin 170 ° - \sin 160 ° - . . . - \sin 20 ° - \sin 10 ° + \sin 360 ° (∵ \sin (360 ° - x) = - \sin x) = \sin 180 ° + \sin 360 ° = 0 + 0 = 0$

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Similar questions

sin 10^{\circ} + sin 20^{\circ} + sin 30^{\circ} + . . . . + sin 360^{\circ}

sin10°+sin20°+sin30°+....+sin360°=?

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sin 1^{0} + sin 2^{0} + . . . . . + sin 359^{0}

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