Show that sin &#x2061;<!-- ⁡ --> ( 3 x ) is equivalent to 3 sin &#x

Jovany Clayton

Jovany Clayton

Answered question

2022-07-10

Show that sin ( 3 x ) is equivalent to 3 sin ( x ) cos 2 ( x ) sin 3 ( x )

Answer & Explanation

kawiarkahh

kawiarkahh

Beginner2022-07-11Added 15 answers

sin ( 3 x ) = sin ( x + 2 x )
= sin ( x ) cos ( 2 x ) + sin ( 2 x ) cos ( x )
= sin ( x ) ( cos 2 ( x ) sin 2 ( x ) ) + cos ( x ) ( 2 sin ( x ) cos ( x ) )
= 3 sin ( x ) cos 2 ( x ) sin 3 ( x )

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