SOLUTION: How to verify the identity of sin x / 1

SOLUTION: How to verify the identity of sin x / 1 - cos x

Question 735446: How to verify the identity of sin x / 1 - cos x
Found 2 solutions by fcabanski, Alan3354:
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
Multiply by the conjugate of the denominator over itself. The conjugate of a+b is a-b. Any value over itself = 1. So you're just multiplying by one and thus keeping the same value.

sin x / (1 - cos x) * (1+cos x) / (1+cos x) = sin x(1+cos x)/ (1-cos x)(1+cos x) = sin x(1+cos x)/ 1 - cos^2 x

Remember that sin^2 x + cos^2 x = 1 and thus 1-cos^2 x = sin^2 x

sin x(1+cos x)/ 1 - cos^2 x = sin x (1+cos x) / sin^2 x = (1+cos x) / sin x

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How to verify the identity of sin x / 1 - cos x
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An identity is one expression equal to another.
You have no equal sign --> nothing to prove or disprove.

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