SOLUTION: Verify the Identity: cos(x)csc(x) = cot(x)

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the Identity: cos(x)csc(x) = cot(x)      Log On


   

Question 686331: Verify the Identity: cos(x)csc(x) = cot(x)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

prove that left side equal to right side
cos%28x%29csc%28x%29 ..................use identity cos%28x%29+=+1%2Fsec%28x%29

=%281%2Fsec%28x%29%29csc%28x%29

=csc%28x%29+%2Fsec%28x%29...................use identity csc%28x%29+=+1%2Fsin%28x%29 and sec%28x%29+=+1%2Fcos%28x%29

=%281%2Fsin%28x%29%29+%2F+%281%2Fcos%28x%29%29

=cos%28x%29+%2F+sin%28x%29.........................use identity cot%28x%29+=+cos%28x%29%2Fsin%28x%29

=cot%28x%29+