kman14
contestada

Θ lies in Quadrant II .
cosΘ=-[tex]\frac{8}{11}[/tex]
What is the exact value of sinθ in simplified form?

Respuesta :

Answer:

sin theta = sqrt(57) /11

Step-by-step explanation:

cos theta = -8/11

cos = opposite/ hypotenuse =x/ (sqrt(x^2+y^2))

sin = adjacent /hypotenuse= y /sqrt (x^2+y^2)


-8/11 = x/ (sqrt(x^2+y^2))

x = -8

sqrt((x^2+y^2)) =11

11^2 = x^2 + y^2

121 = 64+ y^2

57 = y^2

sqrt(57) = y

sin theta = sqrt(57) /11

If it lies in quadrant II

x is negative and y is positive

Answer:

57√11

Step-by-step explanation: