Question

qual o seno,tangente,cotangente,secante e cossecante do cos x=4/5

Answer 1

sen²x + cos²x = 1
sen²x = 1 - 4²/5²
sen²x = 1 - 16/25
sen²x = 9/25
senx = √9/√25
senx = 3/5

tg x = sen/cos
tg x = 3/5  /  4/5
tg x = 3/5 * 5/4
tg x = 15/20
tg x = 3/4

cotangente = cos/sen
cot x = 4/5  /  3/5
cot x = 4/5 * 5/3
cot x = 20/15
cot x = 4/3

secante = 1/cos
sec x = 1 / 4/5
sec x = 1*5/4
sec x = 5/4

cossecante = 1/sen
cossec x = 1 / 3/5
cossec x = 1 * 5/3
cossec x = 5/3