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Wasted23
@Wasted23
June 2022
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решить уравнение
5sin^2 x+6cosx-6=0
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Answers & Comments
Graver9062
5sin²x +6cosx-6=0
5-5cos²x+6cosx-6=0
5cos²-6cosx+1=0
Пусть cos x =t; |t|≤0
5t²-6t+1=0
D=36-20=16
√D=4
t=1
t=0,4
cos x=1
x=π+2πk
cos x =0,4
x= ± arccos0,4+2πk
Ответ: {π+2πk; ±arccos0,4+2πk | k€Z}
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Answers & Comments
5-5cos²x+6cosx-6=0
5cos²-6cosx+1=0
Пусть cos x =t; |t|≤0
5t²-6t+1=0
D=36-20=16
√D=4
t=1
t=0,4
cos x=1
x=π+2πk
cos x =0,4
x= ± arccos0,4+2πk
Ответ: {π+2πk; ±arccos0,4+2πk | k€Z}