prove that sin 50 degrees - sin 70 degrees + sin 10 degrees = 0
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= 2 cos( 50 + 70 / 2 ) sin (50 - 70 / 2 ) + sin 10
= - 2 cos 60 × sin 10 + sin 10
= - 2 × 1 / 2 × sin 10 + sin 10
= - sin 10 + sin 10
= 0 ......
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