SOLUTION: ((cotA-cosA)(1+sinA)) all divided by cos^3A = cscA i am trying to simplify the left side to get it to equal the right. This is really urgent so any help right away woul

Algebra ->  Trigonometry-basics -> SOLUTION: ((cotA-cosA)(1+sinA)) all divided by cos^3A = cscA i am trying to simplify the left side to get it to equal the right. This is really urgent so any help right away woul      Log On


   

Question 569237: ((cotA-cosA)(1+sinA)) all divided by cos^3A = cscA i am trying to simplify the left side to get it to equal the right. This is really urgent so any help right away would be GREATLY appreciated!!! Thanks
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
changing everything on left to sin or cos and FOILing



cancelling cos(A) on the left

___ %28%281%2Fsin%28A%29%29+%2B+1+-+1+-+sin%28A%29%29+%2F+%28cos%28A%29%29%5E2+=+csc%28A%29

%28%281%2Fsin%28A%29%29+-+sin%28A%29%29+%2F+%28cos%28A%29%29%5E2+=+csc%28A%29

multiplying left side by [sin(A) / sin(A)] ___ %281+-+%28sin%28A%29%29%5E2%29+%2F+%28sin%28A%29%2A%28cos%28A%29%29%5E2%29+=+csc%28A%29 ___ %28cos%28A%29%29%5E2+%2F+%28sin%28A%29%2A%28cos%28A%29%29%5E2%29+=+csc%28A%29

canceling cos^2(A) on the left side ___ 1+%2F+sin%28A%29+=+csc%28A%29