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Math Help - help with exact value.

  1. #1
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    help with exact value.

    what is the exact value of sec\frac{\pi}{4} ?

    thanks
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  2. #2
    Air
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    Quote Originally Posted by jvignacio View Post
    what is the exact value of sec\frac{\pi}{4} ?

    thanks
    \sec \theta = \frac{1}{\cos \theta}

    \therefore \sec \left(\frac{\pi}{4}\right) = \frac{1}{\cos \left(\frac{\pi}{4}\right)}

    We know that \cos \frac{\pi}{4} = \frac{1}{\sqrt2}

     \therefore \frac{1}{\left(\frac{1}{\sqrt2}\right)} = \sqrt2 = \sec \left(\frac{\pi}{4}\right)
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