SOLUTION: Find the exact value. Given that Tanθ=8/7 with θ in quadrant I, find sin 20.

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value. Given that Tanθ=8/7 with θ in quadrant I, find sin 20.       Log On


   

Question 777570: Find the exact value.
Given that Tanθ=8/7 with θ in quadrant I, find sin 20.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value.
Given that Tanx=8/7 with x in quadrant I, find sin 2x
tanx=sinx/cosx
hypotenuse of working right triangle=√(8^2+7^2)=√113
sinx=8/√113
cosx=7/√113
sin+2%28x%29=2sin%28x%29cos%28x%29=2%288%2Fsqrt%28113%29%29%287%2Fsqrt%28113%29%29=112%2F113