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Mathematics
22 March, 05:40
SinX/1-cosX+sinX/1+cosX
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Zander Copeland
22 March, 06:02
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It looks like you're missing some parentheses.
I think this is the equation you mean:
sin (x) / (1-cos (x)) + sin (x) / (1+cos (x))
your common denominator is (1-cos (x)) * (1+cos (x)), which is the difference of squares simplification and is equal to (1-cos^2 (x)) = sin^2 (x)
Numerator: sin (x) * (1+cos (x)) + sin (x) * (1-cos (x))
= sin (x) + sin (x) cos (x) + sin (x) - sin (x) cos (x)
= 2sin (x)
Answer: 2sin (x) / sin^2 (x) = 2/sin (x) = 2csc (x)
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