1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Simplifying a Trig. Functions

  1. Jul 9, 2012 #1
    1. The problem statement, all variables and given/known data
    Finding the derivative of x^2 sin x tan x.

    I need to simplify this:

    x^2 sin x sec^2 x + x^2 tan x cos x + 2x sin x tan x


    x (x sec(x) tan(x) + sin(x) * (x+2 tan(x)))

    2. Relevant equations
    Just what you see above.

    3. The attempt at a solution
    I can get it simplified to x(sin x(x sec^2 x + 2 tan x) + x tan x cos x).
  2. jcsd
  3. Jul 9, 2012 #2
    I'm not sure why the sinx is factored right after the x on the left :confused:
    Try expanding some of the trig functions and see if you can simplify things to the final answer.
    [tex]x^2\sin x \sec^2x + x^2\tan x \cos x + 2x\sin x \tan x = x\left(x\sin x\cdot\frac{1}{\cos x\cdot \cos x} + x\cdot\frac{\sin x}{\cos x}\cdot\cos x + 2\sin x \tan x\right)[/tex]
  4. Jul 9, 2012 #3


    User Avatar
    Homework Helper

    Simplifying an expression the way that Wolfram does it is not necessarily the best way. The simplified answer you give is the same as given by Wolfram, except that the order of terms are different. If you really want to simplify the expression this way...

    Using trig identities, rewrite the part in red as a product of two trig functions, neither of which are raised to an exponent. Then rewrite the part in blue as a single trig function. The rest is just rearranging terms and factoring out the greatest common factor.
  5. Jul 11, 2012 #4
    Okay dokey then. Thanks : D
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook