Question

prove that sin50-sin70+sin10=0​

Answer 1

(sin50-sin70)+sin10=0

apply sin10 for both numbers

(sin50+sin10)+(-sin70+sin10)=0

sin60+(-sin60)=0

sin60-sin60=0

(root3/2)+(-root3/2)=0

root 3/2 is cancelled

0=0

hence proved.

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Answer 2

=2cos60°sin(-10)°+sin10°
Since sinc-sind

=2cos(c+d)/2. sin(c-d)/2

=2(1/2)(-sin10)+sin10°

=-sin10°+sin10

=0