Solve the equation : 2 sin &#x2061;<!-- ⁡ --> 2 x &#x2212;<!-- − --> 2 c

Jaqueline Kirby

Jaqueline Kirby

Answered question

2022-06-22

Solve the equation :
2 sin 2 x 2 cos 2 x = cos x + cos 3 x cos x sin x
my try :
cos x sin x 0 cos x sin x
x k π + π 4
2 ( sin 2 x cos 2 x ) = cos x + cos 3 x cos x sin x
2 ( 2 sin x cos x cos 2 x ) = cos x + cos 3 x cos x sin x
2 ( 2 sin x cos x ( 1 2 sin 2 x ) = cos x + cos 3 x cos x sin x
then ?

Answer & Explanation

gaiageoucm5p

gaiageoucm5p

Beginner2022-06-23Added 20 answers

Hint:
cos 3 x + cos x = 2 cos 2 x cos x
sin 2 x cos 2 x = cos x ( cos x + sin x )
cos 2 x + cos 2 x = sin x cos x
Divide both sides by cos 2 x

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