Find the exact value of sin 0 if cos 0=-2/3 and 90º < 0 < 180°

sin (theta) =

Step-by-step explanation:

cos = adjacent side/hypotenuse

Then, in a right triangle the adjacent = 2 and the hypotenuse = 3

By the Pythagorean theorem, 3^2 = 2^2 + opposite side^2

9 - 4 = 5

opposite side =

sin (theta) =

An easier way is to find sin(arccos (-2/3) =

Note:  Remember that the sin is positive in the 2nd quadrant.

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct