2sin^(2)x+3cos x=0 solve the equation

listgrein6u 2022-09-11 Answered
2 sin 2 x + 3 cos x = 0 solve the equation
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Answers (1)

Hofpoetb9
Answered 2022-09-12 Author has 17 answers
2 sin 2 x + 3 cos x = 0
2 ( 1 cos 2 x ) + 3 cos x = 0
2 2 cos 2 x + 3 cos x = 0
2 cos 2 x 3 cos x 2 = 0
cos x = a , | a | 1
2 a 2 3 a 2 = 0
D = 9 + 16 = 25
a = 3 ± 5 4
a 1 = 2 does not satisfy
a 2 = 1 2
cot x = 1 2
x = ± 2 π 3 + 2 π k , k Z

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