Write the value of sin 10-sin 2 0-sin 360-

Sin 10^∘+sin 20^∘+....+sin 360^∘ =sin (360^∘ 350^∘)+sin (360^∘ 340^∘)+...+sin 180^∘+sin 190^∘+...+ sin 360^∘ = sin 350^∘ sin 340^∘ .... sin 190^∘ +sin 180^∘ ...

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Byju's Answer

Standard XII

Mathematics

Trigonometric Ratios of Allied Angles

Write the val...

Question

Write the value of sin $10^{\circ} + s i n^{2} 0^{\circ} + . . . . + s i n 360^{\circ}$

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Solution

$s i n 10^{\circ} + s i n 20^{\circ} + . . . . + s i n 360^{\circ}$

$= s i n (360^{\circ} - 350^{\circ}) + s i n (360^{\circ} - 340^{\circ}) + . . . + s i n 180^{\circ} + s i n 190^{\circ} + . . . + s i n 360^{\circ}$

$= - s i n 350^{\circ} - s i n 340^{\circ} - . . . . - s i n 190^{\circ} + s i n 180^{\circ} + 190^{\circ} + . . . . + s i n 360^{\circ}$

$= s i n 180^{\circ} + s i n 360^{\circ}$

=0+0

=0

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Similar questions

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

sin10°+sin20°+sin30°+....+sin360°=?

Ans given is 0

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

is equal to

Q. The value of

s i n 10^{0} + s i n 20^{0} + s i n 30^{0} + . . . . + s i n 360^{0}

is equal to-

Q. The value of the

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

is equal to

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Write the value of sin 10∘+sin20∘+....+sin360∘

sin10∘+sin20∘+....+sin360∘ =sin(360∘−350∘)+sin(360∘−340∘)+...+sin180∘+sin190∘+...+sin360∘ =−sin350∘−sin340∘−....−sin190∘+sin180∘+190∘+....+sin360∘ =sin180∘+sin360∘ =0+0 =0

Write the value of sin $10^{\circ} + s i n^{2} 0^{\circ} + . . . . + s i n 360^{\circ}$