Facebook Page
Twitter
RSS
+ Reply to Thread
Results 1 to 2 of 2
  1. MHB Craftsman

    Status
    Offline
    Join Date
    Jan 2014
    Posts
    227
    Thanks
    131 times
    Thanked
    40 times
    #1
    I have $\frac{sec\theta}{tan\theta}$. How can I simplify it to get $\csc\left({\theta}\right)$ ?

  2. MHB Journeyman
    MHB Math Helper
    topsquark's Avatar
    Status
    Offline
    Join Date
    Aug 2012
    Location
    The Astral plane
    Posts
    703
    Thanks
    3,601 times
    Thanked
    1,478 time
    Thank/Post
    2.102
    Awards
    MHB Humor Award (2016)  

MHB Humor Award (2015)  

MHB Humor Award (2014)
    #2
    Quote Originally Posted by tmt View Post
    I have $\frac{sec\theta}{tan\theta}$. How can I simplify it to get $\csc\left({\theta}\right)$ ?
    I prefer to change everything to sines and cosines.
    $ \displaystyle \frac{sec( \theta )}{tan( \theta )} = \frac{ \frac{1}{cos( \theta )}}{ \frac{sin( \theta )}{cos( \theta )}}$

    $ \displaystyle = \frac{ \frac{1}{cos( \theta )}}{ \frac{sin( \theta )}{cos( \theta )}} \cdot \frac{ cos( \theta )}{cos( \theta )}$

    $ \displaystyle = \frac{1}{sin( \theta )} = csc( \theta )$

    With, of course, the restrictions that $ \displaystyle sin( \theta ) \neq 0$ and $ \displaystyle cos( \theta ) \neq 0$

    -Dan

Similar Threads

  1. Trig equation.
    By Drain Brain in forum Trigonometry
    Replies: 6
    Last Post: April 23rd, 2015, 13:40
  2. More than one equation for a given Trig Graph?
    By m3dicat3d in forum Trigonometry
    Replies: 5
    Last Post: March 4th, 2013, 08:38
  3. Solving a trig equation
    By Bushy in forum Trigonometry
    Replies: 1
    Last Post: August 28th, 2012, 21:00
  4. Trig. equation
    By jacks in forum Trigonometry
    Replies: 1
    Last Post: July 10th, 2012, 08:12
  5. Simplifying trig expression
    By daigo in forum Trigonometry
    Replies: 1
    Last Post: June 30th, 2012, 20:53

Tags for this Thread

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  
Math Help Boards