SOLUTION: PROVE THAT tanx + cotx / secx + cosecx = 1 / sinx + cosx

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Question 1064975: PROVE THAT
tanx + cotx / secx + cosecx = 1 / sinx + cosx

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
tanx+%2B+cotx+%2F+secx+%2B+cosecx+=+1+%2F+sinx+%2B+cosx
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tanx+%2B+%28cosx%2Fsinx%29%2F%281%2Fcosx%29+%2B+1%2Fsinx+=+1%2Fsinx+%2B+cosx
tanx+%2B+%28cos%5E2%28x%29%2Fsinx%29+%2B+1%2Fsinx+=+1%2Fsinx+%2B+cosx
Multiply by sine
tanx%2Asinx+%2B+cos%5E2%28x%29+%2B+1+=+1+%2B+cosx%2Asinx
tanx%2Asinx+%2B+cos%5E2%28x%29+=+cosx%2Asinx
sin%5E2%28x%29%2Fcosx+%2B+cos%5E2%28x%29+=+cosx%2Asinx
Not an identity.