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Math Help - find the sine cosine and tangent of:

  1. #1
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    find the sine cosine and tangent of:

    how do i find the sine cosine and tangent of:
    pi/8.. pi/12... 4pi/3

    I know this isn't that much related to calculus.. but its my first calculus assignment
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Yello View Post
    how do i find the sine cosine and tangent of:
    pi/8.. pi/12... 4pi/3

    I know this isn't that much related to calculus.. but its my first calculus assignment
    Note that \frac{\pi}{8}=\frac{1}{2}\left(\frac{\pi}{4}\right  ) and \frac{\pi}{12}=\frac{1}{2}\left(\frac{\pi}{6}\righ  t). Then recall the following identities:

    \sin^2\left(\tfrac{x}{2}\right)=\frac{1-\cos x}{2}

    \cos^2\left(\tfrac{x}{2}\right)=\frac{1+\cos x}{2}

    \tan^2\left(\tfrac{x}{2}\right)=\frac{1-\cos x}{1+\cos x}.

    You will need these to find sine, cosine and tangent at \frac{\pi}{8} and \frac{\pi}{12}.

    To find sine, cosine, and tangent at \frac{4\pi}{3}, you need to use the unit circle.

    Can you take it from here?
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