Question

Sendo dado seno x 4/5, Determine o cosseno e a tangente x.

Answer 1

Da trigonometria:

$cosx= \sqrt{1-sen^2x}\\ \\ cosx= \sqrt{1-(\frac{4}{5})^2} = \sqrt{1-\frac{16}{25}}= \sqrt{\frac{9}{25}}=\frac{3}{5}\\ \\ tgx=\frac{senx}{cosx}=\frac{\frac{4}{3}}{\frac{3}{5}}=\frac{4}{3}$