Expressing 2 cos 2 </msup> &#x2061;<!-- ⁡ --> x + sin 2

Gael Gardner

Gael Gardner

Answered question

2022-05-19

Expressing 2 cos 2 x + sin 2 x in terms of cos 2 x

Answer & Explanation

Ueberbachge

Ueberbachge

Beginner2022-05-20Added 7 answers

Hint:
cos ( 2 x ) = cos ( x + x ) = cos x cos x sin x sin x = cos 2 x sin 2 x = cos 2 x ( 1 cos 2 x ) = 2 cos 2 x 1
So,
cos 2 x = 1 + cos ( 2 x ) 2
which can be substituted.

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