Angles in Coordinate Plane - Quadrants
Reference Angles
Finding Missing Sides/Angles in Coordinate Plane
*Go off descriptions.
Coterminal Angles
Radians to Degrees
Degrees to Radians
100

In what quadrant is 100o

II

100

What is the reference angle of 135o

45o

100

Find the opposite leg when the adjacent leg=5 and theta=20o

Round to 2 decimal places

1.82

100

Name one positive coterminal angle of 40o.

400o

100

pi/3

60o

200

In what quadrant is 300o

IV

200

What is the reference angle of 225o

45o

200

What is theta when the opposite leg=16 and the hypotenuse = 24

Round to two decimal places

41.81o

200

Name one negative coterminal angle of 270o

-90o

200

180o

pi

300

In what quadrant is -100o

III

300

What is the reference angle of 170o

10o

300

What is the hypotenuse when the adjacent side=10 and theta = 24o

Round to two decimal places

10.95

300

Name one positive AND one negative coterminal angle of 32o

-328o and 392o

300

315o

7pi/4

400

In what quadrant is -200o

II

400

What is the reference angle of -200o

20o

400

What is theta when the opposite leg=12 and the adjacent leg=13.

Round to two decimal places

42.71o

400

Name one positive coterminal angle of -385o

335o

400

7pi/9

140o

500

In what quadrant is -pi/4

IV

500

What is the reference angle of 80o

80

500

Brian is a contractor and needs to repair his roof. The roof of his house is 20 feet from the ground. The angle of elevation from the ladder to the top of his house is 25o. What is the length of his ladder?

Round to two decimal places and include units.

22.07 feet

500

Name one negative coterminal angle of 765o

-315o

500

720o

4pi

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