SOLUTION: Determine sin θ to 3 decimal places if cos θ = 1/2 and θ is an angle in quadrant IV.

Algebra ->  Finance -> SOLUTION: Determine sin θ to 3 decimal places if cos θ = 1/2 and θ is an angle in quadrant IV.      Log On


   

Question 1173824: Determine sin θ to 3 decimal places if cos θ = 1/2 and θ is an angle in quadrant IV.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!



cos(θ) = 1/2 ---> x/h = 1/2 ---> h = 2x


sin(θ) = -y/h = -sqrt%28h%5E2-x%5E2%29%2Fh+ = +-sqrt%284x%5E2-x%5E2%29%2F%282x%29+= highlight%28+-sqrt%283%29%2F2+%29+ ... to 3 decimal places, that's -0.866