Question

1)6060° 2)-11п/3укажите четверть 

Answer 1

1/4* 6060=1515 градусов
-11п/3* 1/4= -11п/12

Answer 2

1. 6060°: To determine the quadrant of an angle, we need to convert the angle to its reference angle, which lies between 0° and 90°.

To find the reference angle for 6060°, we subtract multiples of 360° until we get an angle within the range of 0° to 360°: 6060° - (16 * 360°) = 60°

Since the reference angle is 60°, we can determine the quadrant:

• The angle is greater than 0° and less than 90°, so it lies in the first quadrant.

Therefore, 6060° lies in the first quadrant.

2. -11п/3: To determine the quadrant of an angle given in radians, we need to convert it to degrees.

-11п/3 radians can be converted to degrees using the conversion factor π radians = 180°: -11п/3 * (180°/π) ≈ -209.44°

Since the angle is negative, we can add 360° to make it positive: -209.44° + 360° = 150.56°

To find the reference angle, we take the absolute value of the angle: |150.56°| = 150.56°

Since the reference angle is 150.56°, we can determine the quadrant:

• The angle is greater than 90° and less than 180°, so it lies in the second quadrant.

Therefore, -11п/3 radians lies in the second quadrant.