Question

question 7 of 10

what is \\(\sin 30^\circ\\)?

a. \\(\frac{\sqrt{3}}{2}\\)

b. \\(\frac{1}{\sqrt{3}}\\)

c. \\(\frac{1}{\sqrt{2}}\\)

d. 1

e. \\(\frac{1}{2}\\)

f. \\(\sqrt{3}\\)

Explanation:

Identify the target angle and sides

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

$$
LATEXBLOCK0
$$

Apply the sine ratio formula

Using the Sine Ratio knowledge point

$$ \sin(30^\circ) = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{1}{2} $$

Answer:

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