Results 1 to 6 of 6

Math Help - Trig Functions?

  1. #1
    Newbie
    Joined
    Mar 2006
    Posts
    15

    Trig Functions?

    I'm wondering if someone could help me list the Trig functions series.
    For example:

    Tan(x) = Sin(x)/Cos(x)
    Sec(x) = 1/Cos(x)

    I'm not sure if this is posted in the right section but I need these information for my Calc homeworks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by nirva
    I'm wondering if someone could help me list the Trig functions series.
    For example:

    Tan(x) = Sin(x)/Cos(x)
    Sec(x) = 1/Cos(x)

    I'm not sure if this is posted in the right section but I need these information for my Calc homeworks.
    Are you sure that the examples give are what is expected?

    Others are:

    Cot(x)=1/Tan(x)=Cos(x)/Sin(x)
    Cosec(x)=1/Sin(x).

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2006
    Posts
    15
    Quote Originally Posted by CaptainBlack
    Are you sure that the examples give are what is expected?

    Others are:

    Cot(x)=1/Tan(x)=Cos(x)/Sin(x)
    Cosec(x)=1/Sin(x).

    RonL
    Because those examples are what was given to some question like
     \int \frac {sin(x) + sec(x)} {tan(x)} dx

    Where sin(x)/tan(x) becomes sin(x)/{sin(x)/cos(x)}
    What is Sec(x)/Tan(x) equal to by the way? Csc(x)?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member malaygoel's Avatar
    Joined
    May 2006
    From
    India
    Posts
    648
    yes it is equal to Csc(x)
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,911
    Thanks
    774
    Hello, nirva!

    Because those examples are what was given to some question like:  \int\frac{\sin x + \sec x}{\tan x}\,dx

    Where \frac{\sin x}{\tan x } becomes \frac{\sin x}{\frac{\sin x}{\cos x}}

    What is \frac{\sec x }{\tan x} equal to? . \csc x ?
    Yes . . . \displaystyle{\frac{\sec x}{\tan x}\;=\;\frac{\frac{1}{\cos x}}{\frac{\sin x}{\cos x}} \;=\;\frac{1}{\cos x}\cdot\frac{\cos x}{\sin x} \;=\;\frac{1}\sin x} \;=\;\csc x }

    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

    By the way, I prefer to simplify the function like this:

    . . . \displaystyle{\frac{\sin x + \sec x}{\tan x} \;= \;\frac{\sin x + \frac{1}{\cos x}}{\frac{\sin x}{\cos x}} }


    Multiply top and bottom by \cos x **

    . . . \frac{\cos x\left(\sin x + \frac{1}{\cos x}\right)}{\cos x\left(\frac{\sin x}{\cos x}\right)} \;= \;\frac{\sin x\cos x + 1}{\sin x}


    Then make two fractions:

    . . . \frac{\sin x\cos x}{\sin x} + \frac{1}{\sin x} \;= \;\cos x + \csc x

    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

    **
    This is a technique used on a complex fraction,
    . . a fraction with more than two "levels".


    Example: \frac{\frac{1}{3} + \frac{1}{2}}{\frac{1}{6} + \frac{1}{4}}


    Multiply top and bottom by the LCD of all the denominators (12):

    . . . \frac{12\cdot\left(\frac{1}{3} + \frac{1}{2}\right)}{12\cdot\left(\frac{1}{6} + \frac{1}{4}\right)} \;= \;\frac{4 + 6}{2 + 3} \;= \;\frac{10}{5}\;=\;2 . . . see?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    May 2006
    Posts
    20
    Are you asking for the different trig identities? just wondering
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trig Equation with varied trig functions
    Posted in the Trigonometry Forum
    Replies: 12
    Last Post: April 12th 2010, 11:31 AM
  2. Replies: 2
    Last Post: September 24th 2009, 10:43 PM
  3. Inverse Trig Functions and Advance Trig
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: September 24th 2008, 04:13 PM
  4. Trig Equations with Multiple Trig Functions cont.
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: April 7th 2008, 06:50 PM
  5. Trig Equations with Multiple Trig Functions help
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: April 6th 2008, 06:48 PM

Search Tags


/mathhelpforum @mathhelpforum