Question

1+sin2(x)÷1-sin2(x)= tan (180÷4+(x)

Answer 1

1+sin 2x/1-sin 2x =tan (180/4 +x)
LHS=( sinx ^2 +cosx ^2+2 sinx * cosx) /(sinx ^ 2 cosx ^ 2 - 2 sinx cosx)
=(sinx + cosx) ^2/(sinx-cosx) ^2
=sin(180/4 + x) /cos(180/4 + x)
=tan (180/4 + x)