SOLUTION: Use identtities to write in terms of sin(x) or cos(x), then simplify. A) {{{csc^2(x)+sec^2(x)}}} B) {{{cot(x)/sec(x)}}} ----------- ----- Not sure on where to go next A){{

Algebra ->  Trigonometry-basics -> SOLUTION: Use identtities to write in terms of sin(x) or cos(x), then simplify. A) {{{csc^2(x)+sec^2(x)}}} B) {{{cot(x)/sec(x)}}} ----------- ----- Not sure on where to go next A){{      Log On


   

Question 680519: Use identtities to write in terms of sin(x) or cos(x), then simplify.
A) csc%5E2%28x%29%2Bsec%5E2%28x%29
B) cot%28x%29%2Fsec%28x%29
-----------------
Not sure on where to go next
A)csc%5E2%28x%29%2Bsec%5E2%28x%29
%281%2Bcot%5E2%28x%29%29%2B%28tan%5E2%28x%29%2B1%29
2+%2B+%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29%2B+%28sin%5E2%28x%29%2Fcos%5E2%28x%29%29
B)cot%28x%29%2Fsec%28x%29
%28cos%28x%29%2Fsin%28x%29%29%2F%281%2Fsin%28x%29%29
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Use identtities to write in terms of sin(x) or cos(x), then simplify.
A) csc%5E2%28x%29%2Bsec%5E2%28x%29
B) cot%28x%29%2Fsec%28x%29
-----------------
Not sure on where to go next
A)csc%5E2%28x%29%2Bsec%5E2%28x%29
%281%2Bcot%5E2%28x%29%29%2B%28tan%5E2%28x%29%2B1%29
2+%2B+%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29%2B+%28sin%5E2%28x%29%2Fcos%5E2%28x%29%29
--------------
A) csc%5E2%28x%29%2Bsec%5E2%28x%29
= 1%2Fsin%5E2%28x%29+%2B+1%2Fcos%5E2%28x%29
= %28sin%5E2%28x%29+%2B+cos%5E2%28x%29%29%2F%28sin%5E2%28x%29%2Acos%5E2%28x%29%29
= 1%2F%28sin%5E2%28x%29%2Acos%5E2%28x%29%29
-------------------------------
B)cot%28x%29%2Fsec%28x%29
%28cos%28x%29%2Fsin%28x%29%29%2F%281%2Fsin%28x%29%29
= cos(x)