SOLUTION: Prove sin^2x+cot^2x+cos^2x=csc^2x 1-cos^2x+(cos^2x/sin^2x)+1-sin^2x=csc^2x I'm not sure how to continue proving csc^2x. Can you explain the process to proving the answer ple

Algebra ->  Trigonometry-basics -> SOLUTION: Prove sin^2x+cot^2x+cos^2x=csc^2x 1-cos^2x+(cos^2x/sin^2x)+1-sin^2x=csc^2x I'm not sure how to continue proving csc^2x. Can you explain the process to proving the answer ple      Log On


   



Question 707339: Prove
sin^2x+cot^2x+cos^2x=csc^2x
1-cos^2x+(cos^2x/sin^2x)+1-sin^2x=csc^2x
I'm not sure how to continue proving csc^2x. Can you explain the process to proving the answer please?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Prove
sin^2x+cot^2x+cos^2x=csc^2x
start with left side:
sin^2x+cot^2x+cos^2x
Identity:sin^2x+cos^2x=1
cot^2x+1
Identity:cot^2x=csc^2x-1
cot^x+1
=csc^2x-1+1
=csc^2x
verified: left side=right side