Converting Radians and Degrees
Evaluate Using Unit Circle
Find the 6 trig functions
Find the reference angles
Find using point and radius
100
What do you multiply be to convert degrees to radians?
pi/180
100
How do trig functions show up as the coordinates in the unit circle?
(cos(theta),sin(theta))
100
What is the opposite/ reciprocal of sin?
csc
100
How can I typically find a reference angle of a radian measure?
Using pi over the same denominator.
Can also think of pi - radian if in Q2 or 2pi-radian if in Q4
Q3 would be radian - pi
100
which side is always the hypotenuse when given a point (x,y) and a radius r
the radius r
200
What do you multiply to convert radians to degrees?
180/pi
200
How can you find tangent using the unit circle?
tan=sin/cos
"sin and cos can be found in point"
200
what is the opposite/reciprocal of cos?
sec
200
How can I find the reference angle for a degree measure?
Q2 180 - angle
Q3 angle - 180
Q4 360 - angle
200
which side is always the opposite side when given a point (x,y) and a radius r
the y value
300
Convert 60o to radians
pi/3
300
Find sin and cos for 120o
sin=sqrt3/2
cos=-1/2
300
Find sin and csc
sin(theta)=12/15
csc(theta)=15/12
300
What is the reference radian for
(8pi)/7
pi/7" (Q3)
300
which side is always the adjacent side when given a point (x,y) and a radius r
the x value
400
"Convert " (5pi)/6 " to degrees"
150o
400
find sin, cos and tan for
(11pi)/6
sin= -1/2
cos= sqrt3/2
tan= -sqrt3/3
400
Find cos and sec
cos(theta)=9/15
sec(theta)=15/9
400
What is the reference angle for 160o
20o (Q2)
400
Find sin and cos given (3,-4) and r=5
sin=-4/5
cos=3/5
500
Convert
(2pi)/9 "to degrees"
40o
500
Find sin, cos and tan of 225o
sin=-sqrt2/2
cos=-sqrt2/2
tan=1
500
Find tan and cot
tan(theta)=12/9
cot(theta)=9/12
500
What is the reference degree for 250o
70o (Q3)
500
find sin cos and tan given (a,b) and r=c
sin=b/c
cos=a/c
tan=b/a