Question

Utilize as relações trigonométricas fundamentais e mostre que tg pi/4 = 1.

Answer 1

$\large\boxed{\begin{array}{l}\rm sen\bigg(\dfrac{\pi}{4}\bigg)=\dfrac{\sqrt{2}}{2}\\\\\rm cos\bigg(\dfrac{\pi}{4}\bigg)=\dfrac{\sqrt{2}}{2}\\\\\rm tg\bigg(\dfrac{\pi}{4}\bigg)=\dfrac{sen\bigg(\dfrac{\pi}{4}\bigg)}{ cos\bigg(\dfrac{\pi}{4}\bigg)}\\\\\rm tg\bigg(\dfrac{\pi}{4}\bigg)=\dfrac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}=1\end{array}}$