SOLUTION: Verify the identity Sin^2x+sin^2xcot^2x=1

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the identity Sin^2x+sin^2xcot^2x=1       Log On


   

Question 1080742: Verify the identity
Sin^2x+sin^2xcot^2x=1
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sin%5E2%28x%29%2Bsin%5E2%28x%29cot%5E2%28x%29=1

sin%5E2%28x%29%281%2Bcot%5E2%28x%29%29=1..............1%2Bcot%5E2%28x%29=csc%5E2%28x%29

sin%5E2%28x%29%28csc%5E2%28x%29%29=1..........csc%5E2%28x%29=1%2Fsin%5E2%28x%29

sin%5E2%28x%29%2Fsin%5E2%28x%29=1

1=1

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Verify the identity
Sin^2x+sin^2xcot^2x=1
-------------
Verify the identity
Sin^2x+sin^2x*(cos^2x/sin^2(x)) = 1
sin^2 + cos^2 = 1