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Math Help - Equivalent Expression in terms of Related Acute Angle [Year 11 Advanced Functions]

  1. #1
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    Equivalent Expression in terms of Related Acute Angle [Year 11 Advanced Functions]

    Here's the question:
    State an equivalent expression for sec(7*pi/6) in terms of the related acute angle.

    The answer is sec(5*pi/6)

    What is the step-by-step solution. Thanks!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by essaymasters View Post
    Here's the question:
    State an equivalent expression for sec(7*pi/6) in terms of the related acute angle.

    The answer is sec(5*pi/6)

    What is the step-by-step solution. Thanks!
    the reference angle for \frac {7 \pi}6 is \frac {\pi}6.

    \frac {7 \pi}6 is in the 3rd quadrant, and so we get a negative answer. since the secant function is negative in the second and third quadrant, the other reference angle that we could take is \frac {5 \pi}6

    draw the unit circle at draw these angles in to see what's going on. note that \frac {7 \pi}6 and \frac {5 \pi}6 make an angle of \frac {\pi}6 with the negative x-axis.
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  3. #3
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    Cheers Jhevon!

    So what I should do is pick an angle on a valid quadrant that has the same related angle, yeah?
    Last edited by essaymasters; November 19th 2008 at 04:19 PM.
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