SOLUTION: Use algebra to find all angles theta between 0 and 2pie radians that satisfy the equation cos^2 x = sin x . Give your answer in radians.

Question 504472: Use algebra to find all angles theta between 0 and 2pie radians that satisfy the equation cos^2 x = sin x . Give your answer in radians.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Use algebra to find all angles theta between 0 and 2pie radians that satisfy the equation cos^2 x = sin x . Give your answer in radians.
**
cos^2 x = sin x
1-sin^2x=sinx
sin^2x+sinx-1=0
solve for sin x using following quadratic formula:

a=1, b=1, c=-1
sinx=[-1�√(1-4*1*-1)]2*1
sinx=[-1�√5]/2
sinx=-1.618(reject, not in range)
or
sin x=.618
x=.67 and 2.48 radians in quadrants I and II where sin is positive.
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