Question

Ajutati-ma va rog repefe
ex 6​

Answer 1

Răspuns:

Explicație pas cu pas:

sin²x+cos²x=1

cos²x=1-sin²x

cos²x=1-(2/3)²=1-4/9=(9-4)/9=5/9

cos x = ±√(5/9) = ±√5 / 3

x∈(π/2 , π) ⇒cos x <0

⇒cos x = -√5/3

tg x = sin x /cos x = (2/3) / (-√5/3) = - 2/3 * 3/√5= - 2/√5 = -2√5/5

ctg x = cos x /sin x= (-√5/3)/(2/3)= -√5/3*2/3= -√5/2