Question

Sendo cosec x = 3 e pi/2 < x < pi , calcule tg x.

Answer 1

Oi

cossec(x) = 3

1/sen(x) = 3

sen(x) = 1/3

sen²(x) + cos²(x) = 1

1/9 + cos²(x) = 9/9 

cos²(x) = 8/9 

cos(x) = -√8/3

tg(x) = sen(x)/cos(x) = -(1/3)/(√8/3) = -1/√8 =  -√8/8 = -√2/4 


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