Question

sabendo que cotg x=1, calcule cossec x, sen x e Cos x.​

Answer 1

Resposta:

cotg= cos/sen

$1 = \frac{cosx}{senx} \\ senx = cosx$

${senx}^{2} + {cos}^{2} = 1 \\ 2 {senx}^{2} = 1 \\ senx = \frac{ \sqrt{1} }{ \sqrt{2} } \\ senx = \frac{ \sqrt{2} }{2} \:$

cossecx = 1/ sen

$cossecx = \frac{2}{ \sqrt{2} } \\ cossecx = \frac{2 \sqrt{2} }{2} \\ cossecx = \sqrt{2}$

$senx = \frac{ \sqrt{2} }{2} \\ \\ cosx = \frac{ \sqrt{2} }{2}$