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Find the exact value of: sin 1° + sin 2° + sin 3° + ..... + sin 358° + sin 359°

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Find the exact value of:

sin 1° + sin 2° + sin 3° + ..... + sin 358° + sin 359°
asked Jan 26, 2015 in PRECALCULUS by anonymous

1 Answer

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Step 1:

The trigonometric function is image

Rewrite the above function,

image

Apply the periodic property: image

image

The exact value of image.

Solution:

The exact value of image.

answered Jan 26, 2015 by james Pupil

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