Results 1 to 2 of 2

Math Help - Trigonometry quotient identity?

  1. #1
    Newbie
    Joined
    Jul 2008
    Posts
    6

    Trigonometry quotient identity?

    Given: tanX = sinX/cosX

    Use the quotient identity and the compound angle formulas for sin (x+y) and cos(x+y) to write a formula for tan(x+y)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Santa Cruz, CA
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by ahling View Post
    Given: tanX = sinX/cosX

    Use the quotient identity and the compound angle formulas for sin (x+y) and cos(x+y) to write a formula for tan(x+y)
    Well,

    \sin\left(\alpha + \beta\right)=\sin(\alpha)\cos(\beta)+\cos(\alpha)\  sin(\beta)

    \cos\left(\alpha + \beta\right)=\cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)

    Now, what would \tan\left(x+y\right) equal?

    --Chris
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trigonometry identity proof
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: June 3rd 2010, 08:45 AM
  2. Trigonometry Identity
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: December 1st 2009, 05:12 AM
  3. Trigonometry Reduction Identity
    Posted in the Trigonometry Forum
    Replies: 7
    Last Post: July 22nd 2009, 08:50 PM
  4. Trigonometry Identity
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: January 26th 2009, 03:31 PM
  5. Trigonometry Identity Rearrangement
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: June 15th 2008, 01:59 AM

Search Tags


/mathhelpforum @mathhelpforum