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In Exercises $7-12,$ one of sin $x, \cos x,$ and tan $x$ is given. Find theother two if $x$ lies in the specified interval.$$\tan x=2, \quad x \in\left[0, \frac{\pi}{2}\right]$$
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The tangent of an angle \( x \) is defined as the ratio of the sine and cosine of that angle: \[ \tan x = \frac{\sin x}{\cos x} \] Show more…
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In Exercises $7-12,$ one of $\sin x, \cos x,$ and $\tan x$ is given. Find the other two if $x$ lies in the specified interval. $\tan x=\frac{1}{2}, \quad x \in\left[\pi, \frac{3 \pi}{2}\right]$
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In Exercises $7-12,$ one of $\sin x, \cos x,$ and tan $x$ is given. Find the other two if $x$ lies in the specified interval. $$\tan x=2, \quad x \in\left[0, \frac{\pi}{2}\right]$$
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