Question

Qual a solução da equação trigonométrica sen x-cos x =0 onde x € 1° quadrante?

Answer 1

$\sin x-\cos x=0\\\\\sin x=\cos x\\\\\dfrac{\sin x}{\cos x}=1\\\\\tan x=1\\\\x=\arctan 1\\\\x=45\°\ \ \ \ ou\ \ \ \ x=\dfrac{\pi}{4}\textnormal{\ rad}$