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Blericker74 2022-07-08 Answered
Solve
6 sin 2 ( x ) + sin ( x ) cos ( x ) cos 2 ( x ) = 5
0 x 360
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Answers (1)

Jamarcus Shields
Answered 2022-07-09 Author has 17 answers
6 sin 2 ( x ) + sin ( x ) cos ( x ) cos 2 ( x ) = 5
6 sin 2 ( x ) + sin ( x ) cos ( x ) cos 2 ( x ) = 5 1
6 sin 2 ( x ) + sin ( x ) cos ( x ) cos 2 ( x ) = 5 ( sin 2 ( x ) + cos 2 ( x ) )
6 sin 2 ( x ) + sin ( x ) cos ( x ) cos 2 ( x ) = 5 sin 2 ( x ) + 5 cos 2 ( x )
sin 2 ( x ) + sin ( x ) cos ( x ) 6 cos 2 ( x ) = 0
tan 2 ( x ) + tan ( x ) 6 = 0
tan ( x ) = 2
x = arctan 2 + π n , n Z
x = arctan 3 + π k , k Z

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