Question

Sabendo que tg x = V3, com x E 3° quadrante, calcule cos x e cotg x.​

Answer 1

tg x = V3 ==> cotg x = 1/√3 = √3/3 ✓

sec²x = 1 + tg²x

sec²x = 1 + (√3)²

sec²x = 1 + 3

sec²x = 4

secx = √4

secx = -2 ==> cosx= -1/2 ✓