5sin5t-2cos5t=0
cos^2(Pi/8-x)-cos^2(Pi/8+x)=1/2
1) 5sin(5)t-2cos(5t)=0
sin(5t)=2/5cos(5t)
2cos(5t)=5sin(5t)
2)cos^2(Pi/8-x)-cos^2(Pi/8+x)=1/2
4sin(П/8)cos(П/8)=1/2
√2 sin(x)cos(x)=1/2
√2 sin(2x)=1
x=1/8(8Пn*П), n Е Z
x=1/8(8Пn*3П), n Е Z
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5sin5t-2cos5t=0
cos^2(Pi/8-x)-cos^2(Pi/8+x)=1/2
1) 5sin(5)t-2cos(5t)=0
sin(5t)=2/5cos(5t)
2cos(5t)=5sin(5t)
2)cos^2(Pi/8-x)-cos^2(Pi/8+x)=1/2
4sin(П/8)cos(П/8)=1/2
√2 sin(x)cos(x)=1/2
√2 sin(2x)=1
x=1/8(8Пn*П), n Е Z
x=1/8(8Пn*3П), n Е Z