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anonymous

  • 4 years ago

find the value of tan-1(1/sqrt3) express your answer in radians

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  1. jagatuba
    • 4 years ago
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    \[-\frac{\tan(1)}{\sqrt(3)} radians\]

  2. anonymous
    • 4 years ago
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    your job is to find a number (angle ) in the interval \[[-\frac{\pi}{2},\frac{\pi}{2}]\] whose tangent is \[\frac{1}{\sqrt{3}}\]

  3. anonymous
    • 4 years ago
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    think about where sine and cosine have values that involve \[\sqrt{3}\] and make sure that \[\frac{\sin(x)}{\cos(x)}=\frac{1}{\sqrt{3}}\]

  4. anonymous
    • 4 years ago
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    could you guys also help me graph the function y=2cos(theta+pi/3) ?

  5. anonymous
    • 4 years ago
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    there are really only two places to look. it is either \[\frac{\pi}{6}\] or \[\frac{\pi}{3}\] because they are the only ones that involve \[\sqrt{3}\]

  6. anonymous
    • 4 years ago
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    looks just like cosine, but shifted left \[\frac{\pi}{3}\] units, and goes from -3 to 3 instead of from -1 to 1

  7. anonymous
    • 4 years ago
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    here is a nice picture http://www.wolframalpha.com/input/?i=3cos%28x%2Bpi%2F3%29

  8. jagatuba
    • 4 years ago
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    Graph y=2cos(theta+pi/3) http://www.wolframalpha.com/input/?i=graph+y%3D2cos%28theta%2Bpi%2F3%29

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