Find the degree measures of the radians given.
1. pi/15 rad
= 12 degs
2. -9pi/2
= -810 degs
3. 5pi/3
= 300 degs
4. -3pi/4
= -135 degs
5. pi/10
= 18 degs
6. -11pi/15
= -132 degs
7. In which quadrant is -11pi/9?
= quadrant 2
8. Find one positive and one negative coterminal angle for -410 degrees.
= -50 and 310 degs
Looks good to me. All you really have to do is remember that pi radians = 180 degrees.
To find the degree measures of the given radians, you can use the conversion formula that 1 radian is equal to 180 degrees divided by pi.
Let's go through each of the given radians:
1. pi/15 rad:
To convert this to degrees, multiply by the conversion factor of 180/pi:
(pi/15) * (180/pi) = 12 degrees.
2. -9pi/2:
Multiply by the conversion factor:
(-9pi/2) * (180/pi) = -810 degrees.
3. 5pi/3:
Multiply by the conversion factor:
(5pi/3) * (180/pi) = 300 degrees.
4. -3pi/4:
Multiply by the conversion factor:
(-3pi/4) * (180/pi) = -135 degrees.
5. pi/10:
Multiply by the conversion factor:
(pi/10) * (180/pi) = 18 degrees.
6. -11pi/15:
Multiply by the conversion factor:
(-11pi/15) * (180/pi) = -132 degrees.
7. To determine the quadrant of -11pi/9, divide the radian measure by pi/2 (90 degrees).
(-11pi/9) / (pi/2) = -22/9 ≈ -2.44
Since the result is negative and less than -1, it falls in Quadrant 2.
8. To find one positive and one negative coterminal angle for -410 degrees, you can add or subtract multiples of 360 degrees to get equivalent angles.
Positive coterminal angle: -410 + 360 = -50 degrees.
Negative coterminal angle: -410 - 360 = -770 degrees.