Question

Sin⁴∅-Cos⁴∅/Sin∅-Cos∅=Sin∅+Cos∅​

Answer 1

Consider LHS:

Simplify using half angle formula.

$\frac{ \sin {}^{2} (x) - \cos {}^{2} (x) }{ \sin(x) - \cos(x) } = \sin(x) + \cos(x)$

Divide LHS

$\sin(x) + \cos(x) = \sin(x) + \cos(x)$

Answer 2

Whattt i don't get it lol