The Unit Circle
a circle that has a radius with a length of 1
what is the unit circle?
way to convert degree measure to radian measure
what is the degree multiplied by pi/180.
ex: 90(pi/180)
what does each letter stand for
q: quadrant
s: sign (+,-)
f: function
r: reference angle
define reference angle
what is the angle between the x-axis and the known angle?
ex: 0, pi/2, pi, 3pi/2
name the 4 quadrantal angles in radians of the unit circle
what is 0, pi/2 , pi , and 3pi/ 2?
the angle in radians at 90 and 270 degrees on the unit circle
what is pi/2 and 3pi/2?
which way do angles rotate when greater than 2pi radians and which way do angles rotate with a negative radian?
what is counterclockwise more than once and clockwise from standard position (respectfully)
define quadrantal angles
what is angles in the standard position and has a measure that is a multiple of 90 degrees (or pi/2 radians)?
ex: 3pi/2 would be a quadrantal angle because it is a multiple of pi/2 radians
how many degrees is pi/2?
what is 90 degrees?
what quadrant is 330 degrees in?
what is quadrant four?
330(pi/180)
11pi/6
fill out QSFR of sin 13pi/6
Q: one
S: +
F: sin
R: pi/6
find the reference angle of pi
what is no reference angle because it is a quadrantal angle?
what is cos pi/6?
what is √ 3 /2?
what quadrant is -310 degrees in?
what is quadrant one?
-310(pi/180)
-31pi/18
fill out QSFR of cos 5pi/4
Q: three
S: -
F: cos
R: pi/4
find the reference angle of 4pi/3
(hint: draw it out to help)
what is pi/3?
what is sin pi/4?
what is √2/2?
what quadrant is 145 degrees in?
what is quadrant two?
145(pi/180)
29pi/36
use QSFR to find the exact value of tan 7pi/4
Q: four
S: -
F: tan (sin/cos)
R: pi/4
exact value: -1
find the reference angle of 7pi/6
(hint: draw it out to help)
what is pi/6?