Pure Year 2 Unit 5

Question 1

What is a radian?

Answer 1

A measure of angles

1 radian = the angle AOB of the radius of a segment with equal arc length and radius

Question 2

What is 2pi radians in degrees

Answer 2

360

Question 3

What is pi radians in degrees

Answer 3

180

Question 4

What is 1 radians in degrees

Answer 4

180/pi

Question 5

Convert 30’ to radians

Answer 5

pi/6

Question 6

Convert 45’ to radians

Answer 6

pi/4

Question 7

Convert 60’ to radians

Answer 7

pi/3

Question 8

Convert 90’ to radians

Answer 8

pi/2

Question 9

Convert 180’ to radians

Answer 9

pi

Question 10

Convert 360’ to radians

Answer 10

2pi

Question 11

sin(pi/6)

Answer 11

1/2

Question 12

sin(pi/3)

Answer 12

root(3)/2

Question 13

sin(pi/4)

Answer 13

root(2)/2

Question 14

cos(pi/6)

Answer 14

root(3)/2

Question 15

cos(pi/3)

Answer 15

1/2

Question 16

cos(pi/4)

Answer 16

root(2)/2

Question 17

tan(pi/6)

Answer 17

root(3)/3

Question 18

tan(pi/3)

Answer 18

root(3)

Question 19

tan(pi/4)

Answer 19

1

Question 20

sin(pi-theta)

Answer 20

sin(theta)

Question 21

sin(pi+ theta)

Answer 21

-sin(theta)

Question 22

sim(2pi - theta)

Answer 22

-sin(theta)

Question 23

cos(pi-theta)

Answer 23

-cos(theta)

Question 24

cos(pi+theta)

Answer 24

-cos(theta)

Question 25

cos(2pi-theta)

Answer 25

cos(theta)

Question 26

tan(pi-theta)

Answer 26

-tan(theta)

Question 27

tan(pi+theta)

Answer 27

tan(theta)

Question 28

tan(2pi-theta)

Answer 28

-tan(theta)

Question 29

Arc length formula in radians

Answer 29

l = r(theta)

Question 30

Area of a sector in radians

Answer 30

A = (1/2)(r^2)(theta)

Question 31

When theta is small and in radians, sin(theta) =

Answer 31

theta

Question 32

When theta is small and in radians, tan(theta) =

Answer 32

theta

Question 33

When theta is small and in radians, cos(theta) =

Answer 33

1-((theta^2)/2)