Is the answer correct? I had to simplify it: cos 2 </msup> &#x2061;<!-- ⁡ -->

dourtuntellorvl

dourtuntellorvl

Answered question

2022-06-22

Is the answer correct?
I had to simplify it:
cos 2 ( π + x ) + cos 2 ( π 2 + x ) = cos 2 ( x ) sin 2 ( x ) = ( cos 2 ( x ) + sin 2 ( x ) ) = 1.

Answer & Explanation

Jaida Sanders

Jaida Sanders

Beginner2022-06-23Added 18 answers

Note that
cos ( π + x ) = cos π cos x sin π sin x = cos x
and
cos ( π 2 + x ) = cos ( π 2 ) cos x sin ( π 2 ) sin x = sin x .
So
cos 2 ( π + x ) + cos 2 ( π 2 + x ) = cos 2 x + sin 2 x = 1.

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