By: Alvin Nguyen

Unit Circle JeopardyConversions Rotation Angles Reference

AnglesTrig Functions Word Problems

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

Convert 90 degrees into radians.

Pi/2 or 1.57 radians

Convert pi/3 into degrees.

60 degrees

Convert 420 degrees into radians.

7pi/3 or 7.33 radians

Convert 2pi/3 into degrees.

120 degrees

Convert -285 degrees into radians.

-19pi/12 rad.

A positive angle that terminates in Quadrant IIIwith a 80 degree reference angle. What is the

rotational angle?

260 degrees

A negative angle terminates in Quadrant III with a 22 degree reference angle. What is the

rotational angle?

-158 degrees

A positive angle terminates in Quadrant II with a 15 degree reference angle. What is the rotational

angle?

165 degrees

A negative angle that terminates in Quadrant I with a 75 degree reference angle. What is the

rotational angle?

-285 degrees

A positive angle that terminates in Quadrant IV with a 50 degree reference angle. What is the

rotational angle?

310 degrees

Rotational Angle: 2pi/3

What is the reference angle?

Pi/3 or 60 degrees

Rotational Angle: 11pi/2

What is the reference angle?

Pi/12 or 15 degrees

Rotational Angle: 5pi/6

What is the reference angle?

Pi/6 or 30 degrees

Rotational Angle: 17pi/12

What is the reference angle?

5pi/12 or 75 degrees

Rotational Angle: 7pi/4

What is the reference angle?

Pi/4 or 45 degrees

Evaluate the trigonometric function for this angle:

Tan(240 degrees)

√(3)

Evaluate the trigonometric function for this angle:

Cot(150 degrees)

-√(3)

Evaluate the trigonometric function for this angle:

Sec(315 degrees)

√(2)

Evaluate the trigonometric function for this angle:

Csc(60 degrees)

2√(3)/3

Label the quadrants where the trig ratios are positive.

Quadrant I: sin, cos, tan, cot, sec, csc Quadrant II: sin, cscQuadrant III: tan, cotQuadrant IV: cos, sec

What is the initial side of a circle when dealing with degrees?

Initial side is the side where the rotation angle starts, located on the positive x-axis, and it is also referred to as 0.

What is the difference between positive angles and negative angles?

Positive angles are angles that go counter-clockwise from 0 degrees. Negative angles are angles that go clockwise from 0 degrees.

Five right angles will equal to how many degrees in a circle?

450 degrees

An arc of a circle is how many degrees regularly?

One radian

Find the sector area of the shaded part of the circle where it is covered by 240 degrees that

has a radius of 8 inches? Hint: S=0.5r^2(degrees)

33pi/3 or 134.04 in^2.