Chapter 4

Question 1

Two positive angles are complementary when the sum of their angles is?

Answer 1

π / 2

Question 2

Two positive angles are supplementary when their sum is?

Answer 2

π

Question 3

Two angles are coterminal when they have the same ______ and ______ sides.

Answer 3

initial and terminal

Question 4

For positive angles, to find the coterminal you need to?

Answer 4

Subtract 2 pi

Question 5

For negative angles, to find the coterminal you need to?

Answer 5

add 2 pie

Question 6

Complementary angles are always?

Answer 6

Postitive angles

Question 7

Coterminal Angles in radians always go what direction around the circle?

Answer 7

counter-clockwise

(so they’re always positive)

…fucking math…

Question 8

Two positive angles and are complementary (complements of each other)
when their sum is?

Answer 8

pi / 2

(pi over two)

Question 9

Two positive angles are supplementary (supplements of each
other) when their sum is?

Answer 9

pi

Question 10

To convert degrees to radians, multiply degrees by?

Answer 10

pi rad / 180

Question 11

To convert radians to degrees, multiply radians by

Answer 11

180 / pi rad

Question 12

to find the arc length of a circle we can use what formula?

Answer 12

s = r(theta)

or

length = radius (angle in radians)

240 degrees = (4pi / 3) radians

so if the radius is 4, the arc length is

4(4pi/3)

Question 13

linear speed v = ?

Answer 13

(arc length) / time

or

s/t

Question 14

if the angle (in radian measure) is corresponding to the arc length
then the angular speed w (the lowercase Greek letter omega) of the particle is
Angular speed w = ?

Answer 14

central angle (in radians) / time

central angle over time

theta / t

Question 15

Let be a real number and let be the point on the unit circle corresponding
to t.

sin t = ?

Answer 15

y

Question 16

Let be a real number and let be the point on the unit circle corresponding
to t.

cos t = ?

Answer 16

x

Question 17

Let be a real number and let be the point on the unit circle corresponding
to t.

tan t = ?

Answer 17

y / x

when x does not equal 0

Question 18

Let be a real number and let be the point on the unit circle corresponding
to t.

csc t = ?

Answer 18

1/y

when y does not equal 0

Question 19

Let be a real number and let be the point on the unit circle corresponding
to t.

sec t = ?

Answer 19

1/x

when x does not equal 0

Question 20

Let be a real number and let be the point on the unit circle corresponding
to t.

cot t = ?

Answer 20

x/y

when y does not equal 0.

Question 21

the corisponding t (x,y) of the angle

pi / 4

is?

Answer 21

x: sqrt(2)/2
y: sqrt(2)/2

Question 22

the corisponding t (x,y) of the angle

pi / 6

is?

Answer 22

x sqrt(3)/2

y:1/2

Question 23

the corisponding t (x,y) of the angle

pi / 3

is?

Answer 23

x: 1/2
y: sqrt(3)/2

Question 24

the corisponding t (x,y) of the angle

pi / 2

is?

Answer 24

x: 0
y: 1

Question 25

the corisponding t (x,y) of the angle 2pi / 3 is?

Answer 25

x: -1/2 y: sqrt(3)/2

Question 26

the corisponding t (x,y) of the angle 3pi / 4 is?

Answer 26

x: -sqrt(2)/2 y: sqrt(2)/2

Question 27

the corisponding t (x,y) of the angle 5pi / 6 is?

Answer 27

x: -sqrt(3)/2 y: 1/2

Question 28

the corisponding t (x,y) of the angle pi is?

Answer 28

x: -1 y: 0

Question 29

the corisponding t (x,y) of the angle 7pi / 6 is?

Answer 29

x: -sqrt(3)/2 y: -1/2

Question 30

the corisponding t (x,y) of the angle 5pi / 4 is?

Answer 30

x: -sqrt(2)/2 y: -sqrt(2)/2

Question 31

the corisponding t (x,y) of the angle 4pi / 3 is?

Answer 31

x: -1/2 y: -sqrt(3)/2

Question 32

the corisponding t (x,y) of the angle 3pi / 2 is?

Answer 32

x: 0 y: -1

Question 33

the corisponding t (x,y) of the angle 5pi / 3 is?

Answer 33

x: 1/2 y: -sqrt(3)/2

Question 34

the corisponding t (x,y) of the angle 7pi / 4 is?

Answer 34

x: sqrt(2)/2 y: -sqrt(2)/2

Question 35

the corisponding t (x,y) of the angle 11pi / 6 is?

Answer 35

x: sqrt(3)/2 y: -1/2