SOLUTION: Verify the identity. 1/1-cos + 1/1+cos = 2 Csc^2

Question 814827: Verify the identity. 1/1-cos + 1/1+cos = 2 Csc^2
Found 2 solutions by mananth, DrBeeee:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

LHS

2/sin^2x

AMP Parsing Error of [2csc^2x]: Invalid function '\x': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .

Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Given;
(1)
First combine the fractions on the left side of (1) by cross multiplying to get
(2)
Now add the numerator terms and multiply the denominator factors of the left side of (2) to get
(3) or
(4)
Now use the identity
(5) to get
(6)
Now substitute (6) into (4) to get
(7)
Now use the reciprocal identity
(8) to get
(9) or
by multiplying both sides of (9) by 2 we get
(10)
Now substitute (10) into (7) to get
(11) Q.E.D.

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