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Math Help - Trig functions

  1. #1
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    Question Trig functions

    List the 6 trig functions of 90 degrees. Which does not represent a real number?

    I know what the 6 trig functions are...I just need help starting this problem. How would you set it up? Would you use the 30-60-90 triangle or the 45-45-90 triangle?

    Thanks for any help!
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  2. #2
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    Quote Originally Posted by live_laugh_luv27 View Post
    List the 6 trig functions of 90 degrees. Which does not represent a real number?

    I know what the 6 trig functions are...I just need help starting this problem. How would you set it up? Would you use the 30-60-90 triangle or the 45-45-90 triangle?

    Thanks for any help!
    There are 6 trig functions, but all of them are based around only 2...  \sin(x) and  \cos(x) . You should be able to verify that  \sin(90) = 1 and  \cos(90) = 0

    And then remember that:

     \tan(x) = \frac{\sin(x)}{\cos(x)}

     \text{cot}(x) = \frac{1}{\tan{x}} = \frac{\cos(x)}{\sin(x)}

     \text{sec}(x)  = \frac{1}{\cos(x)}

     \text{cosec}(x)  = \frac{1}{\sin(x)}

    Hence:

     \sin(90) = 1

     \cos(90) = 0

     \tan(90) = \frac{\sin(90)}{\cos(90)}  = \frac{1}{0}

     \text{cot}(90) = \frac{\cos(90)}{\sin(90)}  = \frac{0}{1}

     \text{sec}(90)  = \frac{1}{\cos(90)} = \frac{1}{0}

     \text{cosec}(90)  = \frac{1}{\sin(x)} = \frac{1}{1}

    Can you evaluate which is real and which is undefined now?
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