Is sin 2 </msup> &#x2061;<!-- ⁡ --> 2 x = ( 2 sin &#x2061;

Taniyah Estrada

Taniyah Estrada

Answered question

2022-06-18

Is sin 2 2 x = ( 2 sin x cos x ) 2 = 4 sin 2 x cos 2 x
and
cos 2 3 x = 16 cos 6 x 24 cos 3 x cos x + 9 cos 2 x
I'd like to know s i n 2 2 x = ? as x not 2x same for cos 2 3 x

Answer & Explanation

iceniessyoy

iceniessyoy

Beginner2022-06-19Added 27 answers

Yes. sin 2 ( x ) is an abbreviated way of denoting ( sin ( x ) ) 2 . And so
sin 2 ( 2 x ) = ( sin ( 2 x ) ) 2 .
Then, since sin ( 2 x ) = 2 sin x cos x ,, it follows that
sin 2 ( 2 x ) = ( sin ( 2 x ) ) 2 = ( 2 sin x cos x ) 2 = 4 sin 2 x cos 2 x

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