Which of the following angles below has the smallest reference angle? 1 pointA. 397°B. 495°C. 513°D. 621°
Question
Which of the following angles below has the smallest reference angle?
1 point
A. 397°
B. 495°
C. 513°
D. 621°
Solution
The reference angle is the acute angle that the terminal side of the angle makes with the x-axis. It is always between 0° and 180°.
To find the reference angle for angles greater than 360°, we subtract multiples of 360° until we get an angle that is between 0° and 360°.
Let's calculate the reference angles for each of the given angles:
A. 397° - 360° = 37° B. 495° - 360° = 135° C. 513° - 360° = 153° D. 621° - 2*360° = -99°, but since it's negative, we add 360° to get 261°
So, the smallest reference angle is 37°, which corresponds to option A. 397°.
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