Finals Semester 2

Question 0

Cosx=?/?

Answer 0

1/secx

Question 1

Sinx= ?/?

Answer 1

1/cscx

Question 2

Tanx=?/?

Answer 2

1/cotx

Question 3

Cscx=?/?

Answer 3

1/sinx

Question 4

Secx=?/?

Answer 4

1/cosx

Question 5

Cotx=?/?

Answer 5

1/tanx

Question 6

Tanx=?/? (Quotient identities)

Answer 6

Sinx/cosx

Question 7

Cotx=?/? (Quotient identities)

Answer 7

Cosx/sinx

Question 8

List the three Pythagorean identities

Answer 8

Sin^2x+cos^2x=1

Tan^2x + 1=sec^2x

1 + cot^2x = csc^2x

Question 9

When drawing a trig function from the equation and it says sine, where does the graph start?

Answer 9

On the node line

Question 10

When drawing a trig function from an equation and it says cosine, where does the graph start?

Answer 10

On the top (the crest) but if the amplitude in the equation has a negative sign then it starts on the bottom (the trough)

Question 11

I'm y= a cosb ( x-c ) + d
Or y= a sinb ( x-c ) + d
How do you find the:
Amplitude
Frequency
Phase shift
Vertical displacement 
Period of 1 cycle 
Equation of node line 
Max y-value and min y- value

Answer 11

Amplitude is a (always positive)
Frequency is b
Phase shift is c (always the opposite of what is in the parenthesis for ex. If it says (x-4) then you shift 4 to the right)
Vertical displacement is d (if it is positive value then the displacement goes up. If it is a negative value then the displacement goes down.)
Period of one cycle you have to do the equation thing when it gets you to for ex. 0

Question 12

What are the rules for solving real nth roots (4 of them)

1. N is odd, a (is in the set of) all real numbers =>….
2. N is even, a > 0 =>….
3. N is even, a = 0 =>….
4. N is even, a ….

Answer 12

1. a had one real solution
2. a has two real solutions
3. a has one real solution
4. a has zero real solutions

Question 13

To find the horizontal asymptote
Num>denom (degree) = ?
Num < denom (degree) = ?
Num = denom (degree) = ?

Answer 13

1. None
2. Y= 0
3. Ratio of leading coefficients

Question 14

How do you find the range?

Answer 14

Does the graph pass the horizontal asymptote?
If no then it is part of the range!
Does the graph pass the y value of the hole in any other place than the hole?
If no then it is part of the range!

Question 15

What is the equation for law of cosines?

Answer 15

a^2 = b^2 + c^2 - 2bc* CosA

Question 16

Law of sines and cosines is in degree or radians?

Answer 16

Degree

Question 17

What do you need to be able to use law of cosine?

Answer 17

Sas

SSS

Question 18

What do you need to know for law of sines

Answer 18

Asa

Aas

Question 19

What is the “equation” for law of sines

Answer 19

Sin a / a = sin b / b = sin c / c

Question 20

What do these notations mean
(a,a)
[a,a]

Answer 20

( ) not included

[ ] included

Question 21

Which is bigger
The square root of 3 over 2
Or 1/3
(When it comes to coordinates)

Answer 21

The square root of 3 over two is bigger