goniometric functions

Based on the fact that you know the values ​​of sin and cos of a given angle and you know that tan (tangent) is their ratio, determine
d) tan 120 °
e) tan 330 °

Correct answer:

t₁ =  -1.7321
t₂ =  -0.5774

Step-by-step explanation:

$$\begin{gathered} s_1=\sin (120°)\doteq 0.866 \\ {c}_1=\cos (120°)=-0.5 \\ {t}_1=s_1/c_1=0.866/(-0.5)=-\sqrt{3}=-1.7321 \end{gathered}$$

$$\begin{gathered} s_2=\sin (330°)=-0.5 \\ {c}_2=\cos (330°)\doteq 0.866 \\ {t}_2=s_2/c_2=(-0.5)/0.866=-0.5774 \end{gathered}$$

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