Unit 1

Question 1

What is Degrees Minutes Seconds (DMS) form?

Answer 1

A precise measure of an angle.

Question 2

How do you convert DMS to Degree Decimal form?

Answer 2

Divide the minutes by 60, divide the seconds by 3600, then add them both to the whole degree number.

Question 3

How do you convert Degree Decimal form to DMS?

Answer 3

Multiply the digits behind the decimal by 60 and exclude the decimal for minutes, then multiply the digits behind the decimal on minutes by 60 for seconds.

Question 4

What is the radian measure of an angle?

Answer 4

Theta, circumference/radius, 2piR/R, 2pi, ~6.28

Question 5

How do you convert from degrees to radians?

Answer 5

Multiply the degree by pi/180

Question 6

How do you convert from radians to degrees?

Answer 6

Multiply the radian by 180/pi

Question 7

What is a co-terminal angle?

Answer 7

An angle that shares the same spot on a circle but has a different measure. (e.g. 0 degrees and 360 degrees are co-terminal)

Question 8

How do you find arc length?

Answer 8

Arc length (s) = radius (r) x theta (angle of the arc)

Question 9

How do you calculate angular speed?

Answer 9

W = theta/time

Question 10

How do you calculate linear speed?

Answer 10

v = r x W

Question 11

How do you calculate the area of a sector of a circle?

Answer 11

A = 1/2 x r^2 x Theta

Question 12

What are the measurements on the sides of a right triangle with the angles 45, 45, 90?

Answer 12

both legs are 1, the hypotenuse is root(2)

Question 13

What is the Pythagorean identity involving Sin and Cos?

Answer 13

Sin^2theta + Cos^2theta = 1

Question 14

What is the Pythagorean identity involving Tan and Sec?

Answer 14

Tan^2theta + 1 = Sec^2theta

Question 15

What is the Pythagorean identity involving Cot and Csc?

Answer 15

1 + Cot^2theta = Csc^2theta

Question 16

When 2 functions complement each other, how can you convert between them to find theta?

Answer 16

Theta of function 1 = 90 - theta of function 2 (goes both ways)

Question 17

Which functions complement each other?

Answer 17

Sin -> Cos
Tan -> Cot
Sec -> Csc

Question 18

What are the measurements on the sides of a right triangle with the angles 30, 60, 90?

Answer 18

The side adjacent to 30 is root(3), the side adjacent to 60 is 1, the hypotenuse is 2.

Question 19

What is Sin in relation to a point on the unit circle?

Answer 19

Sin = Y

Question 20

What is Cos in relation to the unit circle?

Answer 20

Cos = X

Question 21

What is the domain of f(t) = Sint?

Answer 21

(-inf,inf)

Question 22

What is the domain of f(t) = Cost?

Answer 22

(-inf,inf)

Question 23

What is the period when working with Sin, Cos, Sec, Csc?

Answer 23

2pi (180 degrees)

Question 24

What is the period when working with Tan, Cot?

Answer 24

Pi (180 degrees)

Question 25

When a function is even, what does that mean?

Answer 25

It is symmetric on the Y axis.

Question 26

When a function is odd, what does that mean?

Answer 26

It is symmetric to the origin.

Question 27

When is a function even?

Answer 27

When func(-t) = func x t