How to prove sin(-a) = sin(360^o-a) = -sin a?

yegumbi4q0

yegumbi4q0

Answered question

2022-12-26

How to prove sin(-a) = sin(360°-a) = -sin a?

Answer & Explanation

narrutwa6

narrutwa6

Beginner2022-12-27Added 4 answers

Use trigonometric identity:ZSK
sin (x - y) = sin x.cos y - sin y.cos xZSK
sin (-a) = sin (360 - a). Change the identity of, x by 360 and y by (a):ZSK
sin (-a) = sin 360.cos (a) - sin (a).cos 360.ZSK
Since sin 360 = 0, and cos 360 = 1, there for,ZSK
sin (-a) = - sin aZSK

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