Pure Year 2 Unit 5 Flashcards
1
Q
What is a radian?
A
A measure of angles
1 radian = the angle AOB of the radius of a segment with equal arc length and radius
2
Q
What is 2pi radians in degrees
A
360
3
Q
What is pi radians in degrees
A
180
4
Q
What is 1 radians in degrees
A
180/pi
5
Q
Convert 30’ to radians
A
pi/6
6
Q
Convert 45’ to radians
A
pi/4
7
Q
Convert 60’ to radians
A
pi/3
8
Q
Convert 90’ to radians
A
pi/2
9
Q
Convert 180’ to radians
A
pi
10
Q
Convert 360’ to radians
A
2pi
11
Q
sin(pi/6)
A
1/2
12
Q
sin(pi/3)
A
root(3)/2
13
Q
sin(pi/4)
A
root(2)/2
14
Q
cos(pi/6)
A
root(3)/2
15
Q
cos(pi/3)
A
1/2
16
Q
cos(pi/4)
A
root(2)/2
17
Q
tan(pi/6)
A
root(3)/3
18
Q
tan(pi/3)
A
root(3)
19
Q
tan(pi/4)
A
1
20
Q
sin(pi-theta)
A
sin(theta)
21
Q
sin(pi+ theta)
A
-sin(theta)
22
Q
sim(2pi - theta)
A
-sin(theta)
23
Q
cos(pi-theta)
A
-cos(theta)
24
Q
cos(pi+theta)
A
-cos(theta)
25
cos(2pi-theta)
cos(theta)
26
tan(pi-theta)
-tan(theta)
27
tan(pi+theta)
tan(theta)
28
tan(2pi-theta)
-tan(theta)
29
Arc length formula in radians
l = r(theta)
30
Area of a sector in radians
A = (1/2)(r^2)(theta)
31
When theta is small and in radians, sin(theta) =
theta
32
When theta is small and in radians, tan(theta) =
theta
33
When theta is small and in radians, cos(theta) =
1-((theta^2)/2)
