SOLUTION: If tan α = x tanβ and sin α = y sin β, then cos^2α is.

Algebra ->  Testmodule -> SOLUTION: If tan α = x tanβ and sin α = y sin β, then cos^2α is.      Log On


   

Question 1143013: If tan α = x tanβ and sin α = y sin β, then cos^2α is.
Answer by JDKOUO01(1) About Me  (Show Source):
You can put this solution on YOUR website!
(A recommendation, next time say in what terms you want the answer to be in)
Answer: %28y%5E2%29%2F%28x%5E2%29%2Acos%5E2%28b%29
If a=b and c=d then c%2Fa=d%2Fb so,
sin%28a%29%2Ftan%28a%29=y%2Asin%28b%29%2F%28x%2Atan%28b%29%29
Using the property sin%28x%29%2Ftan%28x%29=cos%28x%29 (If you don't understand this notice tanx=sinx%2Fcosx)
Which makes the beforementioned equation cos+a=%28y%2Fx%29cos+b%29
squaring both sides will get the desired equation