Question

prove that sin 180 degree is equal to sin 360 degree

Answer 1

Hey mate!

Here, we have to prove that,
sin 180° = sin 360°

LHS:
sin180° = sin(90°+90°)
=>cos 90°
=>0 ...(i)

RHS:
sin 360° = sin(180°+180°)
=>-sin 180°
=>-sin(90°+90°)
=>-cos 90°
=>0 ...(ii)

From (i) and (ii),
sin 180° = sin 360°

Hence proved.

Hope it helps :)

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