anonymous
  • anonymous
Simplify secθ + secθtan^2θ. A.) 1 B.) cosθ C.) secθ D.) sec^3θ
Mathematics
jamiebookeater
  • jamiebookeater
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Nnesha
  • Nnesha
factor!
anonymous
  • anonymous
example please.
Nnesha
  • Nnesha
sec theta = x tan theta = y so you can write it as \[\huge\rm (x+xy^2)\] so what is common in these both terms ?

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anonymous
  • anonymous
x
Nnesha
  • Nnesha
yes right so take it out\[\huge\rm x(1+y^2)\] now you can replace x and y by sec an tan \[\huge\rm sec \theta (1+ \tan^2)\] 1+tan^2 = what ? ^^^^identity
anonymous
  • anonymous
i still dont understand whatsoever.
Nnesha
  • Nnesha
it's same like simple algebra first we have to find GCF(greatest common factor) \[\huge\rm sec \theta + \sec \theta \tan^2 \] sec is common so take it out and divide both terms by common factor write your answer in the parentheses|dw:1434120062504:dw| \[\sec \theta (1+ tan^2 \theta )\]
anonymous
  • anonymous
right now i feel like i must be missing something... because i dont understand what i am susposed to be understanding...
Nnesha
  • Nnesha
alright did you take notes ?
Nnesha
  • Nnesha
tag other users maybe they can explain better than me :-) :-) good luck!!! :-)
anonymous
  • anonymous
kk
anonymous
  • anonymous
mathmate
  • mathmate
As @Nnesha said, factor: secθ + secθtan^2θ what do you get?
anonymous
  • anonymous
how do i factor?
mathmate
  • mathmate
For example, factoring xy+xz = x(y+z)
mathmate
  • mathmate
You take out the common factor from each term. It's like the inverse of distribution.
anonymous
  • anonymous
right now, i guess my mind is still waking up. but i think i am starting to understand factoring...
mathmate
  • mathmate
Well, hints I give would be: 1. factor out sec\(\theta\) see https://www.mathsisfun.com/algebra/factoring.html for help 2. apply one of the pythagorean trig. identities. see http://www.sosmath.com/trig/Trig5/trig5/trig5.html for help.
anonymous
  • anonymous
i give up.
Nnesha
  • Nnesha
Practice does not make perfect. Only \(\huge\rm \color{reD}{{Perfect~Practice}}\) makes perfect. ~Vince Lombardi so practice!!

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