SOLUTION: Assuming all terms are defined, simplify (sinx/ cscx) + 1/(sec^2 x) + (tan^2 x). Thank you in advance!

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Question 1028124: Assuming all terms are defined, simplify
(sinx/ cscx) + 1/(sec^2 x) + (tan^2 x).
Thank you in advance!
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute according to the definitions and go from there.



Through two steps, obtain sin%5E2%28x%29%2Bcos%5E2%28x%29%2B%28sin%5E2%28x%29%29%2F%28cos%5E2%28x%29%29

1%2B%28sin%5E2%28x%29%29%2F%28cos%5E2%28x%29%29


.... or that can still be kept as 1%2Btan%5E2%28x%29.
Looking for something simplified, you can find an identity involving sec(x), tan(x), and 1. That might or might not give something to make your expression simpler.


Instead of that, the expression can go as
cos%5E2%28x%29%2Fcos%5E2%28x%29%2Bsin%5E2%28x%29%2Fcos%5E2%28x%29
%28cos%5E2%28x%29%2Bsin%5E2%28x%29%29%2Fcos%5E2%28x%29
1%2Fcos%5E2%28x%29
and by recognizing the definition,
highlight%28sec%5E2%28x%29%29