WEEK 2

Question 1

Unit Circle

Answer 1

circle with a radius of 1 centred at the original (0,0)

Question 2

Unit Circle Trig Functions

Answer 2

SinØ = y, CosØ = x, tanØ = y/x = sinØ/ cosØ

Question 3

Periodicity

Answer 3

The function forms a repeating pattern, ie. at x=x and x=x+c f(x) is the same.

Question 4

SinØ

Answer 4

at 2pi/0/pi y = 0, at pi/2 y=1, at 3pi/2 y= -1. Period of 2pi

Question 5

CosØ

Answer 5

at pi/2 and 3pi/2 y = 0, at 0/2pi y = 1 at pi = -1. Period

Question 6

TanØ

Answer 6

Period of pi, undefined/ vertical asymptote at pi/2 and 3pi/2

Question 7

Trig Identity

Answer 7

Cos^2Ø + Sin^2Ø = 1

Question 8

Special Triangles

Answer 8

pi/ 4, pi/3, pi/6.

Question 9

Limit

Answer 9

f(x) value “L” that a function tends to approach as x moves towards c from the left and the right. The actual f(c) is irrelevant.

Question 10

Limit Exists

Answer 10

Lim = Lim = L

x->C- x->C+

Question 11

Horizontal Asymptote

Answer 11

If Lim x-> ∞+ or Lim x->∞- f(x) -> L. The function has a horizontal asymptote at y = L

Question 12

Vertical Asymptote

Answer 12

If Lim x-> c = ∞, -∞ ie. x=c is undefined, then the function f(x) has a vertical asymptote at x=c. THis occurs mostly in rational functions = p(x)/ q(x) when q(x) = 0