SOLUTION: Hello, i have been haveing truble with this trig problem for a little while. the question is, Find the identical expression for the following, (tan^2 x + 2)/ (1+tan^2 x).

Question 872818: Hello, i have been haveing truble with this trig problem for a little while.
the question is,
Find the identical expression for the following, (tan^2 x + 2)/ (1+tan^2 x).
I have tried simplifying it to (tan^2 x + 2)/ sec ^2 x
then spliting the problem in two, (tan^2 x/ 1/ cos ^2 x) + (2/ 1/cos ^2 x)
this gave me, sin^2 x + 2cos^2 x.
This is where i get stuck, idk how to go any further to get the right answer please help me. =(
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
(tan^2 x + 2)/(1+tan^2 x)

(tan^2 x + 1 + 1)/(tan^2 x + 1)

(tan^2 x + 1)/(tan^2 x + 1) + 1/(tan^2 x + 1)

1 + 1/(sec^2 x)

1 + cos^2 x <--- You can stop here

1 + (1 - sin^2 x)

1 + 1 - sin^2 x

2 - sin^2 x <--- or you can stop here
RELATED QUESTIONS
Hello, I have been having trouble with this problem for quite a while now. Here is the... (answered by fractalier)

Hello and thank you for your help beforehand! I've been stuck on this question for a... (answered by ankor@dixie-net.com)

Hello everyone,I am having some trouble solving this problem. f(t) = {{{ 5sqrt(t) -... (answered by ikleyn,greenestamps)

Hello, I've been trying to solve this problem for a little while now. I keep getting... (answered by fractalier,Alan3354)

Factor: 16x^4 � 2xy^3 It has been a while since I had Algebra, Trig, etc. 1. How... (answered by rapaljer)

Hello, I have been trying to solve this problem for a while now, but can't seem to get... (answered by stanbon)

Hello, I need help with factoring the following polynomial: 4x^2+4xy+y^2-16 I have... (answered by stanbon)

hello, if I could have help with a problem. I was a bit confused on this one.... (answered by person24,lwsshak3,MathTherapy)

Find values of a and k for a parabola containing the points given: y-k = a(x+3)^2... (answered by longjonsilver)