Ответ:
1
12*2sin x * cos x + sin x +cos x +6 = 0
24 sin x * cos x +sin x +cos x +6 = 0
24 sin x * cos x + sin x+ cos x =-6
24*2t/1+t^2 * 1-t^2/1+t^2 +2t/1+t^2 + 1-t^2/1+t^2 =-6
t=3+√14/5 = 4+√23= 2 arctan (4+√23)+2kπ ,k∈Z
t=3-√14/5 =-4-√23=2 arctan (4-√23)+2kπ ,k∈Z
2
5-7sin x - 3(1- sin x ^2)=0
5-7 sin x -3 +3 sin x^2=0
2-7 sin x + 3 sin x^2=0
2-7t+37^2=0
t=2
t=1/3
sin x =2
sin x = 1/3
x= arcsin 1/3 +2kπ
x= -arcsin 1/3 +π 2kπ
k∈Z
3
xз
Объяснение:
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Answers & Comments
Ответ:
1
12*2sin x * cos x + sin x +cos x +6 = 0
24 sin x * cos x +sin x +cos x +6 = 0
24 sin x * cos x + sin x+ cos x =-6
24*2t/1+t^2 * 1-t^2/1+t^2 +2t/1+t^2 + 1-t^2/1+t^2 =-6
t=3+√14/5 = 4+√23= 2 arctan (4+√23)+2kπ ,k∈Z
t=3-√14/5 =-4-√23=2 arctan (4-√23)+2kπ ,k∈Z
2
5-7sin x - 3(1- sin x ^2)=0
5-7 sin x -3 +3 sin x^2=0
2-7 sin x + 3 sin x^2=0
2-7t+37^2=0
t=2
t=1/3
sin x =2
sin x = 1/3
x= arcsin 1/3 +2kπ
x= -arcsin 1/3 +π 2kπ
k∈Z
3
xз
Объяснение: