Cos^4 2x-sin^4 2x =√3/2

Question

Cos^4 2x-sin^4 2x =√3/2

Answer 1

(cos²2x-sin²2x)(cos²2x+sin²2x)=√3/2
cos4x=√3/2
4x=+-π/6+2πn,n∈z
x=+-π/24+πn/2,n∈z