How can I express <mstyle displaystyle="true" scriptlevel="0"> sin

Layla Velazquez

Layla Velazquez

Answered question

2022-06-20

How can I express sin 3 a sin a while using only cos a?

Answer & Explanation

Amy Daniels

Amy Daniels

Beginner2022-06-21Added 20 answers

We know that
sin 3 a = sin ( 2 a + a ) = = 3 sin a 4 sin 3 a
So
sin 3 a sin a = 3 4 sin 2 a = 3 4 + 4 cos 2 a = 4 cos 2 a 1
cazinskup3

cazinskup3

Beginner2022-06-22Added 6 answers

sin 3 a sin a = 3 sin a 4 sin 3 a sin a
= 3 4 sin 2 a
= 3 4 ( 1 cos 2 a )
= 3 4 + 4 cos 2 a
= 4 cos 2 a 1

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