Question

what is \tan 30^\circ?

a. \frac{1}{\sqrt{3}}
b. 1
c. \sqrt{3}
d. \sqrt{2}
e. \frac{2}{\sqrt{3}}
f. \frac{\sqrt{3}}{2}

Explanation:

Identify the target angle and sides

Using the 30-60-90 Triangle Properties and Trigonometric Ratios knowledge points

$$
LATEXBLOCK0
$$

Apply the tangent ratio formula

Using the Tangent Ratio knowledge point

$$ \tan(30^\circ) = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{1}{\sqrt{3}} $$

Answer:

• A. \(\frac{1}{\sqrt{3}}\) (Correct answer)
• B. 1
• C. \(\sqrt{3}\)
• D. \(\sqrt{2}\)
• E. \(\frac{2}{\sqrt{3}}\)
• F. \(\frac{\sqrt{3}}{2}\)