SOLUTION: prove (1/1+cosx)+(1/1-cosx)=2csc^2

Question 1128175: prove (1/1+cosx)+(1/1-cosx)=2csc^2
Found 2 solutions by MathLover1, Boreal:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

prove

start with left side

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=..........use identity

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Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
(1/1+cosx)+(1/1-cosx)=2csc^2=2/sin^2 x=2/(1-cos^2x)
common denominator on left is (1+cos x)(1-cos x) which is 1-cos^2 x
the numerator will become 1-cos x+1+cos x or 2
and the left side becomes 2/(1- cos^2 x)
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