How to get to the other forms of the identity cos &#x2061;<!-- ⁡ --> 2 x =

Sarai Davenport

Sarai Davenport

Answered question

2022-06-24

How to get to the other forms of the identity cos 2 x = cos 2 x sin 2 x

Answer & Explanation

seraphinod

seraphinod

Beginner2022-06-25Added 22 answers

You can do it by using the Pythagorean identity: sin 2 x + cos 2 x = 1. This can be rewritten two different ways:
sin 2 x = 1 cos 2 x
and
cos 2 x = 1 sin 2 x
Use either of these formulas to replace the sin 2 x, or the cos 2 x, on the right side of your identity. That will give you the other two forms.

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