it’s time to play: precalculus jepordy subject: the unit circle
DESCRIPTION
It’s Time To Play: PRECALCULUS JEPORDY Subject: The Unit Circle. By: Alvin Nguyen. TA DA!. Unit Circle Jeopardy. 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. - PowerPoint PPT PresentationTRANSCRIPT
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.