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Math Help - ok...trig help on finding values

  1. #1
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    ok...trig help on finding values

    ok so in this question i am told to find the value of 0 if the tan 0 = 9.5143

    what do i do?
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  2. #2
    Senior Member eumyang's Avatar
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    You can take the arctangent of both sides.
    \begin{aligned}<br />
\tan\,\theta &\approx 9.5143 \\<br />
\tan^{-1}(\tan\,\theta) &\approx \tan^{-1}(9.5143) \\<br />
\theta &\approx 1.466\,rad\:OR\:84^{\circ}<br />
\end{aligned}

    This question looks like it's missing something, however, because we're not told if theta has to be in some interval of values, like [0, 2\pi). For example, if we're told that theta can be any real number (where tangent is defined), then I would have to state the answer as \theta &\approx 1.466 + k\pi\:\text{rad}(k is an integer).
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