How to solve cos 2 </msup> &#x2061;<!-- ⁡ --> x &#x2212;<!-- - --> sin

wanaopatays

wanaopatays

Answered question

2022-05-22

How to solve cos 2 x sin 2 x 1 = 0 ?

Answer & Explanation

Arianna Turner

Arianna Turner

Beginner2022-05-23Added 12 answers

As you suggest, since cos 2 x = cos 2 x sin 2 x, this is equivalent to the equation cos 2 x = 1, which has solutions when 2x is an integer multiple of 2 π, so the solutions are
x = , 2 π , π , 0 , π , 2 π ,
Avah Knapp

Avah Knapp

Beginner2022-05-24Added 6 answers

cos ( 2 x ) = cos 2 ( x ) sin 2 ( x ) ,So cos ( 2 x ) = 1 has solutions of the form 2 x = 2 k π for k Z That is x = k π where x = k π.

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