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Verify sin(360 - etheta = -sin etheta

Verify sin(360 - etheta = -sin etheta-example-1
User Darrylyeo
by
7.9k points

1 Answer

4 votes

Answer:

see explanation

Explanation:

Using the subtraction identity for sine

sin(a + b) = sinacosb - cosasinb

Given

sin(360 - Θ)°

= sin360°cosΘ° - cos360°sinΘ°

= (0 × cosΘ ) - (1 × sinΘ)

= 0 - sinΘ

= - sinΘ ← as required

User Helen Araya
by
8.1k points

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