Asked by Mason

Use the image to answer the question.

a right triangle graphed in quadrant 1 of the coordinate plane.Image Long DescriptionThe points left parenthesis start fraction start square root 3 end square root over 2 end fraction comma zero right parenthesis and left parenthesis 1 comma zero right parenthesis are shown on the x axis. The points left parenthesis zero comma start fraction 1 over 2 end fraction right parenthesis and left parenthesis zero comma 1 right parenthesis are shown on the y axis. The vertex formed by the hypotenuse and longer leg is at the origin with the longer leg along the x axis. This vertex is labeled as 30 degrees. The longer leg ends at the point left parenthesis start fraction start square root 3 end square root over 2 end fraction comma zero right parenthesis. The shorter leg intersects the x axis at a right angle and runs from the point left parenthesis start fraction start square root 3 end square root over 2 end fraction comma zero right parenthesis to the point left parenthesis start fraction start square root 3 end square root over 2 end fraction comma start fraction 1 over 2 end fraction right parenthesis. A portion of the unit circle is shown intersecting the points left parenthesis 1 comma zero right parenthesis and left parenthesis zero comma 1.

Determine the value of the function y=sinθ
when θ=30°
.

(1 point)
Responses

2√2
Start Fraction Start Root 2 End Root over 2 End Fraction

3√2
Start Fraction Start Root 3 End Root over 2 End Fraction

12√
Start Fraction 1 over Start Root 2 End Root End Fraction

12

All Answers 1

Answered by GPT-5 mini AI
sin 30° = 1/2.