SOLUTION: tan θ = 1-cos2θ / sin2θ Left Side tan θ = sinθ/cosθ Left Side = sinθ/cosθ Right side 1-cos2θ/sin2θ =1-(cos^2(θ

Algebra ->  Trigonometry-basics -> SOLUTION: tan θ = 1-cos2θ / sin2θ Left Side tan θ = sinθ/cosθ Left Side = sinθ/cosθ Right side 1-cos2θ/sin2θ =1-(cos^2(θ      Log On


   



Question 878332: tan θ = 1-cos2θ / sin2θ
Left Side
tan θ = sinθ/cosθ
Left Side = sinθ/cosθ
Right side
1-cos2θ/sin2θ
=1-(cos^2(θ)-sin^2(θ))/2sinθcosθ
This is where I get lost, any help in proving this identity would be great thanks.
The question in word format is; tan (theta) = One minus cos two theta over sin two theta

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28theta%29=%281-cos%282%2Atheta%29%29%2Fsin%282%2Atheta%29
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cos%282%2Atheta%29=cos%5E2%28theta%29-sin%5E2%28theta%29
1-cos%282%2Atheta%29=1-cos%5E2%28theta%29%2Bsin%5E2%28theta%29
1-cos%282%2Atheta%29=sin%5E2%28theta%29%2Bsin%5E2%28theta%29
1-cos%282%2Atheta%29=2sin%5E2%28theta%29
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sin%282%2Atheta%29=2cos%28theta%29sin%28theta%29
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tan%28theta%29=%282sin%5E2%28theta%29%29%2F%282cos%28theta%29sin%28theta%29%29
tan%28theta%29=sin%28theta%29%2Fcos%28theta%29
tan%28theta%29=tan%28theta%29
True.