SOLUTION: if sinθ = 8/17 and 0≤θ≤ π/2, find cosθ

SOLUTION: if sinθ = 8/17 and 0≤θ≤ π/2, find cosθ

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Question 688620: if sinθ = 8/17 and 0≤θ≤ π/2, find cosθ
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
sin^2 + cos^2 = 1

(8/17)^2 + cos^2 = 1

64/289 + cos^2 = 1

cos^2 = 1 - 64/289

cos^2 = 225/289

cos = sqrt(225/289)

cos = 15/17

So cosθ = 15/17
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