SOLUTION: If 4sin(&#952;) = x for 0 < &#952; < &#960;/2,find an expression for sin(2&#952;) in terms of x.

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Question 795372: If 4sin(θ) = x for 0 < θ < π/2,find an expression for sin(2θ) in terms of x.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
If 4sin(θ) = x for 0 < θ < π/2,find an expression for sin(2θ) in terms of x.
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4sin(θ) = x
2sin(θ) = x/2
..
sin(θ)=x/4
cos(θ)=√(1-sin^2(θ))=√(1-(x^2/16))
..
sin(2θ)=2sin(θ)cos(θ)=x/2*√(1-(x^2/16))