Results 1 to 4 of 4

Math Help - Find angle from cosec and tan.

  1. #1
    Newbie
    Joined
    Nov 2011
    Posts
    2

    Find angle from cosec and tan.

    Given that cosec A=-2, tan A=√33 and −π <A<π, find the exact value of the angle A in radians. Justify your answer.
    Last edited by mr fantastic; November 11th 2011 at 01:23 AM. Reason: Re-titled.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,395
    Thanks
    1481
    Awards
    1

    Re: Please Help me

    Quote Originally Posted by Gareth212 View Post
    Given that cosec A=-2, tan A=√33 and −π <A<π, find the exact value of the angle A in radians. Justify your answer.
    You should know that the point (x,y) is associated with angle A where x^2+y^2=r^2,~\csc(A)=\frac{r}{y},~\&~\tan(A)=\frac  {y}{x}.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2011
    Posts
    2

    Re: Please Help me

    Many Thanks for your prompt reply!
    This doesn't ring any bells. Isn't that (what you've said) with relation to a circle? I don't understand how you've come up with this? Super confused now!
    Can you solve it? Show me how you see this from my question.
    Any further response will be greatly appreciated.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426

    Re: Please Help me

    if you know your unit circle as you should ...

    \csc{A} = -2 \implies \sin{A} = -\frac{1}{2}

    A = -\frac{\pi}{6} or A = -\frac{5\pi}{6}

    \tan{A} = \frac{\sqrt{3}}{3}

    A = \frac{\pi}{6} or A = -\frac{5\pi}{6}

    so ... what's that tell you?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. find an angle from cosec and tan
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: November 30th 2011, 04:49 PM
  2. finding and angle in radians from cosec and tan
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: November 23rd 2011, 11:39 PM
  3. Replies: 1
    Last Post: April 4th 2011, 11:36 AM
  4. find the primitive of cosec^2(x)
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 25th 2009, 11:07 PM
  5. Replies: 3
    Last Post: April 16th 2009, 08:45 AM

Search Tags


/mathhelpforum @mathhelpforum