SOLUTION: How do I verify the identity of 2/(1+cosx)-tan^2(x/2) = 1?

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Question 285686: How do I verify the identity of 2/(1+cosx)-tan^2(x/2) = 1?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I verify the identity of 2/(1+cosx)-tan^2(x/2) = 1?
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2/(1+cosx) - [(1-cosx)/sinx]^2 = 1
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2/(1+cosx) - (1-cosx)^2/sin^2 = 1
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2/(1+cosx) - (1-cosx)^2/[1-cos^2] = 1
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2/(1+cosx) - (1-cosx)/(1+cosx)= 1
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[2 -(1-cosx)]/(1+cosx) = 1
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[1+cosx]/(1+cosx)] = 1
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1 = 1
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Cheers,
Stan H.
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