Lecture 2

Question 1

1^n = ?

Answer 1

1

Question 2

n^0= ?

Answer 2

1

Question 3

What is trigonometry?

Answer 3

It is a collection of mathematical techniques which make use of trigonometric functions (also called circular functions).

Question 4

What are the trigonometric/circular functions called?

Answer 4

Sine, cosine, and tangent functions

Question 5

What does trigonometry come up in?

Answer 5

Vector calculations, circular motion, study of oscillations and waves.

Question 6

A circle is dived up into 360°. This is for historical reasons, and 360 is a number with a lot of…

Answer 6

divisors

Question 7

The total circumference of a circle is..

Answer 7

2πr

Question 8

The radian goes from…

Answer 8

0 to 2π

Question 9

An Arc subtended by an angle in radians is given by …

Answer 9

S = rθ

Question 10

SOH CAH TOA!- To find an angle

Answer 10

practice!!

Question 11

sinθ/cosθ=

Answer 11

tanθ

Question 12

π/6 =

Answer 12

30°

Question 13

π/3=

Answer 13

60°

Question 14

π/4=

Answer 14

45°

Question 15

π/2=

Answer 15

90°

Question 16

The small angle approximation- If the angle (in radians) is small, θ &laquo_space;1, then:

Answer 16

sinθ ≈ θ
tanθ ≈ θ
cosθ ≈ 1

Question 17

For tan- At θ= 90°, tan(θ
0 is undefined (goes to infinity) because the denominator Adjacent becomes zero.

Answer 17

Now try remember what you just read!

Question 18

Shape reasoning for tan:

Answer 18

It starts at 0, increases gradually, then shoots up rapidly as θ nears 90°

Question 19

Look at graph and try remember all the other reasonings and θ= 0 and θ=90°