Results 1 to 3 of 3

Thread: Trigonometry, solving for between 0 and 360

  1. #1
    Newbie
    Joined
    Jan 2008
    Posts
    18

    Trigonometry, solving for between 0 and 360

    Hi!

    I'm trying to solve θ between 0 and 360

    I know that if $\displaystyle Sin$θ = 0.7 then θ = 44.4 (because $\displaystyle sin^-1$(0.7)= 44.4 to 1.d.p)

    I know this for $\displaystyle Cos$ and $\displaystyle Tan$ but how do I solve for Cosec, Cot and Sec?

    In particular the questions im looking at are:

    1) Cosecθ = 2.3
    2) Cotθ = -4.26
    3) Secθ = 1.5

    Im not really looking for the answers but the method itself, thank you!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641

    You could

    Quote Originally Posted by Nick87 View Post
    Hi!

    I'm trying to solve θ between 0 and 360

    I know that if $\displaystyle Sin$θ = 0.7 then θ = 44.4 (because $\displaystyle sin^-1$(0.7)= 44.4 to 1.d.p)

    I know this for $\displaystyle Cos$ and $\displaystyle Tan$ but how do I solve for Cosec, Cot and Sec?

    In particular the questions im looking at are:

    1) Cosecθ = 2.3
    2) Cotθ = -4.26
    3) Secθ = 1.5

    Im not really looking for the answers but the method itself, thank you!
    Do one of two things...just take the $\displaystyle arcsc,arcot,arsec$ or use the theorem that for he co-functions you just reciprocate the $\displaystyle \theta$...example $\displaystyle tan(\theta)=cot\bigg(\frac{1}{\theta}\bigg)$...also note the converse works $\displaystyle cot(\theta)=tan\bigg(\frac{1}{\theta}\bigg)$
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641

    Oh yeah

    and $\displaystyle arcsec(x)=sec^{-1}(x)$ as for all of the arc things..if you were unfamiliar with that notation
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solving Trigonometry
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Nov 20th 2011, 09:15 PM
  2. Solving of Trigonometry equation
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: Jan 3rd 2011, 07:19 AM
  3. solving trigonometry questions
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Nov 7th 2010, 06:57 AM
  4. Solving trigonometry equation
    Posted in the Trigonometry Forum
    Replies: 10
    Last Post: May 15th 2008, 08:24 AM
  5. solving trigonometry quadradic
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Apr 11th 2007, 06:03 AM

Search Tags


/mathhelpforum @mathhelpforum