Question

Dados sen x = V7/4 , calcule a tg x e cotg x.​

Answer 1

Resposta:

tg x = √7/3

cotg x = 3√7/7

Explicação:

sen x = V7/4 , calcule a tg x e cotg x.​

Sen^2 x + cos^2 x = 1

(√7/4)^2 + cos^2 x = 1

7/16 + cos^2 x = 1

cos^2 x = 1 - 7/16

cos^2 x = (16-7)/16

cos^2 x = 9/16

cos x = √(9/16)

Cos x = 3/4

tg x = sen x/cos x

tg x = √7/4 : 3/4

tg x = √7/4 . 4/3

tg x = 4/4 . √7/3

tg x = √7/3

cotg x = 1/ tg x

cotg x = 1 : √7/3

cotg x = 1 . 3/√7

cotg x = 3/√7 . √7/√7

cotg x = 3√7/7