Question

Dado cos (x) = 4/5, determine: sen(x), tg(x), sec(x), cossec(x).

Answer 1

Explicação passo-a-passo:

Sabemos que:

cos²(x) + sin²(x) = 1

(4/5)² + sin²(x) = 1

16/25 + sin²(x) = 1

sin²(x) = 1 - 16/25

sin²(x) = 9/25

sin(x) = √9/25

sin(x) = 3/5

tg(x) = sin(x)/cos(x)

tg(x) = (3/5)/(4/5)

tg(x) = 3/4

sec(x) = 1/cos(x)

sec(x) = 1/(4/5)

sec(x) = 5/4

cossec(x) = 1/sin(x)

cossec(x) = 1/(3/5)

cossec(x) = 5/3