Question

An angle in standard position measures 7π6 radians. In which quadrant does the terminal side of this angle lie?

Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Answer 1

Quadrant III

Explanation:

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Answer 2

Hello!

To find the quadrant of where the angle 7π/6 radians is located, we will need to convert from radians to degrees. To do that, we will need to multiply it by 180/π.

7π/6 × 180/π = 1260/6 = 210 degrees

Since 210° is between 180° and 270°, then 7π/6 radians is located in the third quadrant shown by: Quadrant III, then 180° < θ < 270°.

Therefore, 7π/6 radians is located in quadrant III.