Results 1 to 4 of 4

Math Help - Single Trig Functions

  1. #1
    Junior Member
    Joined
    Jan 2010
    Posts
    60

    Single Trig Functions

    Write the following as a single trigonometric function

    1/2sin12xcos12x

    1/2 is a half, and the x value is theta, i wasn't sure how to do it that way. The question i have is this supposed to be 12theta, or should it be 2theta. i'm not sure how to do this.

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by nuckers View Post
    Write the following as a single trigonometric function

    1/2sin12xcos12x

    1/2 is a half, and the x value is theta, i wasn't sure how to do it that way. The question i have is this supposed to be 12theta, or should it be 2theta. i'm not sure how to do this.

    Thanks
    You're expected to know and use \sin(2A) = 2 \sin (A) \cos (A).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member apcalculus's Avatar
    Joined
    Apr 2009
    From
    Boston
    Posts
    293
    Let's assume it says 12x.

    If we set u=12x, the expression becomes

    1/2 sin u cos u

    The sine of a double angle formula says:

    2 sin u cos u = sin (2u)

    Can you apply it here?

    At the end, remember to write the expression in terms of the original variable x. Good luck!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    \frac{1}{2}\sin 12x \cos 12x

    \frac{1}{4}\times 2\sin 12x \cos 12x

    Now apply  2\sin u \cos u = \sin 2u
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Single equation, single unknown. How to solve?
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: March 14th 2010, 01:37 PM
  2. Replies: 2
    Last Post: September 24th 2009, 10:43 PM
  3. reducing trig functions to a single function
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: April 12th 2009, 07:44 AM
  4. Trig Equations with Multiple Trig Functions cont.
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: April 7th 2008, 06:50 PM
  5. Single trigonometric functions...
    Posted in the Trigonometry Forum
    Replies: 18
    Last Post: November 3rd 2006, 01:36 PM

Search Tags


/mathhelpforum @mathhelpforum