SOLUTION: Simplify the expression cos2θ/cosθ+sinθ as much as possible. You must show work.
I started the problem by multiplying by cosθ-sinθ to cos2θ/cos	
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Question 980774: Simplify the expression cos2θ/cosθ+sinθ as much as possible. You must show work.
I started the problem by multiplying by cosθ-sinθ to cos2θ/cosθ+sinθ. Although, I do not know what to do next. Please help.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
cos(2theta) = cos^2(theta) – sin^2(theta) = (cos(theta)+sin(theta)) * (cos(theta)-sin(theta))
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cos2θ/(cosθ+sinθ) = ((cos(theta)+sin(theta)) * (cos(theta)-sin(theta))) / (cos(theta)+sin(theta)) =
cos(theta)-sin(theta)
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