SOLUTION: Solve using reciprocal and Pythagorean identities: ((csc^2)-(cos^2))/(sec^2)= ? Thanks!

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Question 826394: Solve using reciprocal and Pythagorean identities: ((csc^2)-(cos^2))/(sec^2)= ?

Thanks!
Answer by jsmallt9(3759) About Me  (Show Source):
You can put this solution on YOUR website!
I guessing you meant
+%28%28csc%5E2%28x%29%29-%28cot%5E2%28x%29%29%29%2F%28sec%5E2%28x%29%29
with cot instead of cos. If I am wrong then you will have to re-post your question.

One of the Pythagorean identities is cot%5E2%28x%29%2B1=csc%5E2%28x%29. Using this we can substitute in for csc%5E2%28x%29:
+%28%28cot%5E2%28x%29%2B1%29-%28cot%5E2%28x%29%29%29%2F%28sec%5E2%28x%29%29
The cot's cancel:
+1%2F%28sec%5E2%28x%29%29
One of the Reciprocal identities is that sec and cos are reciprocals of each other. So:
+1%2F%28sec%5E2%28x%29%29
is equal to:
cos%5E2%28x%29