Test 1

Question 1

What is the value of Sine?

Answer 1

B/C or Opposite over Hypotenuse

Question 2

What is the value of Cosine?

Answer 2

A/C or Adjacent over Hypotenuse

Question 3

What is the value of Tangent?

Answer 3

B/A or Opposite over Adjacent

Question 4

What is the value of Cosecant? What is it the reciprocal of?

Answer 4

C/B or Hypotenuse over Opposite. Is the reciprocal of Sine!

Question 5

What is the value of Secant? What is it the reciprocal of?

Answer 5

C/A or Hypotenuse over Adjacent. Reciprocal of Cosine!

Question 6

What is the value of Cotangent? What is it the reciprocal of?

Answer 6

A/B or Adjacent over Opposite. It’s the reciprocal of Tangent.

Question 7

What is the Reciprocal Identity of Sine?

Answer 7

1/CSC or 1 over Cosecant

Question 8

What is the Reciprocal Identity of Cosine?

Answer 8

1/SEC or 1 over Secant

Question 9

What is the Reciprocal Identity of Tangent?

Answer 9

1/COT or 1 over Cotangent

Question 10

What is the Reciprocal Identity of Cosecant?

Answer 10

1/SIN or 1 over Sine

Question 11

What is the Reciprocal Identity of Secant?

Answer 11

1/COS or 1 over Cosine

Question 12

What is the Reciprocal Identity of Cotangent?

Answer 12

1/TAN or 1 over Tangent

Question 13

What is the Quotient Identity of Tangent?

Answer 13

SIN/COS or Sine over Cosine

Question 14

What is the Quotient Identity of Cotangent?

Answer 14

COS/SIN or Cosine over Sine

Question 15

What are the Pythagorean Identities?

Answer 15

a. Sin^2 + Cos^2 = 1
b. Tan^2 + 1 = Sec^2
c. Cot^2 + 1 = Csc^2

Question 16

What is the Cofunction of Sin B?

Answer 16

Sin B = b/c = Cos A

Question 17

What is the Cofunction of Cos B?

Answer 17

Cos B = a/c = Sin A

Question 18

What is the Cofunction of Tan B?

Answer 18

Tan B = b/a = Cot A

Question 19

What is the Cofunction of Csc B?

Answer 19

Csc B = c/b = Sec A

Question 20

What is the Cofunction of Sec B?

Answer 20

Sec B = c/a = Csc A

Question 21

What is the Cofunction of Cot B?

Answer 21

Cot B = a/b = Tan A

Question 22

What does A.S.T.C. mean?

Answer 22

All Students Take Calculus
A: All Positive
S: Sin/Csc positive
T: Tan/Cot, positive
C: Cos/Sec, positive

Question 23

What does adjacent turn into?

Answer 23

Adjacent -> X

Question 24

What does opposite turn into?

Answer 24

Opposite -> Y

Question 25

What does hypotenuse turn into?

Answer 25

Hypotenuse -> R

Question 26

What is the equation for R?

Answer 26

R = √x^2 + y^2

Question 27

For the Unit Circle what are the trigonometric values(formulas)?

Answer 27

R becomes 1 ( Hypotenuse becomes 1) Sin = y Cos = x Tan = y/x Csc = 1/y Sec = 1/x Cot = x/y

Question 28

What are the X & Y Intercepts of the graph y = Sin x? (Domain, Range, Period, Amplitude, x & y intercepts)

Answer 28

X-intercepts: Kπ(occurs at every π value) Y-intercepts: 0

Question 29

What are the Domain & Range of graph y = Sin x?

Answer 29

Odd Function Domain; (-∞,∞) Range: [-1,1]

Question 30

What are the Period & Amplitude of graph y = Sin x?

Answer 30

Period: 2π Amp: 1

Question 31

What are the X & Y intercepts of the graph y = Cos x?

Answer 31

X-intercepts: π/2 + Kπ Y-intercepts: 1

Question 32

What are the Domain & Range of the graph y = Cos x?

Answer 32

Even Function Domain(-∞,∞) Range: [-1,1]

Question 33

What are the Period & Amplitude of graph y = Cos x?

Answer 33

Period: 2π Amp: 1

Question 34

What are the X & Y intercepts of the graph y = Tan x

Answer 34

X-intercepts: Kπ Y-Intercepts: 0

Question 35

What are the Domain & Range of graph y = Tan x?

Answer 35

Odd Function Domain: all real numbers except when x = π/2 + kπ Range: (-∞,∞)

Question 36

What are the Period & Asymptotes of the graph y = Tan x?

Answer 36

Period: π Asymptotes: x = π/2 + kπ

Question 37

What are the X & Y intercepts of the graph y = Cot x

Answer 37

X-Intercepts: π/2 + kπ Y-intercepts: None

Question 38

What are the Domain & Range of the graph y = Cot x?

Answer 38

Odd Function Domain: all real numbers except when x = kπ Range: (-∞,∞)

Question 39

What are the Period & Asymptotes of the graph y = Cot x?

Answer 39

Period: π Asymptotes: x = Kπ

Question 40

What are the X & Y intercepts of the graph y = Csc x?

Answer 40

X-Intercepts: None Y-intercepts: None

Question 41

What are the Domain & Range of the graph y = Csc x?

Answer 41

Odd Function Domain: all real numbers except when x = Kπ Range: (-∞,-1] U [1,∞)

Question 42

What are the Period & Asymptotes of the graph y = Csc x?

Answer 42

Period: 2π Asymptotes: x = Kπ

Question 43

What are the X & Y intercepts of the graph y = Sec x

Answer 43

X-Intercepts: None Y-Intercepts: 1

Question 44

What are the Domain & Range of the graph y = Csc x?

Answer 44

Even Function Domain: all numbers except when x = π/2 + kπ Range: (-∞,-1] U [1,∞)

Question 45

What are the Period & Asymptotes of the graph y = Csc x?

Answer 45

Period: 2π Asymptotes: X = π/2 + Kπ

Question 46

What does it mean for a function to be Odd?

Answer 46

A: The graph is symmetric to the origin( if you turn it upside-down, its the same graph you started with ) B: Sin (-x) = -Sin (x)

Question 47

What does it mean for a function to be Even?

Answer 47

A: The graph is symmetric to the y-axis ( if you you fold it across the y-axis, the graph lays on top of the other half of the graph B: Cos (-x) = Cos (x)

Question 48

What do these functions mean: f(x + h) & f(x - h)?

Answer 48

Transformation: Horizontal Shift- A: f(x + h): Shift left h units B: f(x - h): Shift right h units

Question 49

What do these functions mean: f(x) + k & f(x) - k?

Answer 49

Transformation: Vertical Shift- A: f(x) + k: Shift up k units B: f(x) - k: Shift down k units

Question 50

What do these functions mean: -f(x) & f(-x)?

Answer 50

Transformation: Reflection- A: -f(x): Reflect across x-axis B: f(-x): Reflect across y-axis

Question 51

What do these functions mean: a f(x), a > 1 & a f(x), 0 < a < 1 ?

Answer 51

Transformation: Vertical Stretch/Compress- a f(x), a > 1: Stretch vertically by a factor of a a f(x), 0 < a < 1: Compress vertically by a factor of a

Question 52

What do these functions mean: f(ax), a > 1 & f(ax), 0 < a < 1 ?

Answer 52

Transformation: Horizontal Stretch/Compress- f(ax), a > 1: Compress horizontally by a factor of 1/a f(ax), 0 < a < 1: Stretch horizontally by a factor of 1/a