Verify the identity. sin (3pi - x) = sinx

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Mathematics

Mosley

13 March, 05:31

Verify the identity. sin (3pi - x) = sinx

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Beau Gonzales · Answer 1

we use the angle - sum and difference trigonometric identity to simplify the expression sin (3pi - x). This is equal to sin 3 pi cos x - cos 3 pi sin x. In this case, sin 3 pi is equal to zero while cos 3 pi is equal to - 1. Hence the answer simplified is equal to sin x.