√2 cos^2x = √2 sin^2x+1

Question

√2 cos^2x = √2 sin^2x+1

Answer 1

√2сos²x-√2sin²x=1
√2(cos²x-sin²x)=1
√2cos2x=1
cos2x=1/√2
2x=+-π/4+2πn
x=+-π/8+πn,n∈z