QuestionScore: 7/10 Penalty: none
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The unit circle below shows $155^{\circ}$ and $-155^{\circ}$. Find the values below, rounded to three decim necessary. $$\begin{array}{l} \tan \left(155^{\circ}\right)=\square \\ \tan \left(-155^{\circ}\right)=\square \\ \tan \left(155^{\circ}\right)=-\tan \left(-155^{\circ}\right) \end{array}$$

Studdy Solution
Verify the identity $\tan(155^\circ) = -\tan(-155^\circ)$:
From STEP_2 and STEP_3, we have:
$$\tan(155^\circ) \approx -0.466$$ $$\tan(-155^\circ) \approx 0.466$$
Therefore:
$$\tan(155^\circ) = -\tan(-155^\circ)$$
This identity holds true.
The values are:
$$\tan(155^\circ) \approx -0.466$$ $$\tan(-155^\circ) \approx 0.466$$ $$\tan(155^\circ) = -\tan(-155^\circ)$$