SOLUTION: If 4sin(θ) = x for 0 < θ < π/2,find an expression for sin(2θ) in terms of x.

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) (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.
***
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))
RELATED QUESTIONS
If sec(θ) = x/2 for 0 < θ < π/2 ,find an expression for ln|sec(θ) +... (answered by robertb)

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