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

1. ## 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?

2. You can take the arctangent of both sides.
\begin{aligned}
\tan\,\theta &\approx 9.5143 \\
\tan^{-1}(\tan\,\theta) &\approx \tan^{-1}(9.5143) \\
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).