Deck 5: Analytic Trigonometry

Question 1

Answer 1

C

Question 2

Answer 2

D

Question 3

Answer 3

D

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Solve the following equation.

Question 12

A) ()2.7,2.2 , ()6.3, -1.8
B) ()-1.8,6.3 , ()2.7,2.2
C) ()2.7, -1.8 , ()6.3, 2.2
D) ()-1.8,6.3 , ()2.2,2.7
E) ()2.2,2.7 , ()6.3, -1.8

Question 13

Question 14

Question 15

Use the figure below to determine the exact value of the given function.

Question 16

Expand the expression below and use fundamental trigonometric identities to simplify.

Question 17

Question 18

Question 19

Question 20

A) I is the only identity.
B) I, II, and III are identities.
C) II is the only identity.
D) II and II are the only identities.
E) I and II are the only identities.

Question 21

Question 22

Question 23

Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

Question 24

Determine which of the following are trigonometric identities.

A) II is the only identity.
B) II and IV are the only identities.
C) I, III, and IV are the only identities.
D) I is the only identity.
E) II, III, and IV are the only identities.

Question 25

Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.

Question 26

Question 27

Question 28

Question 29

Use the product-to-sum formula to write the given product as a sum or difference.

Question 30

Solve the multi-angle equation below.

Question 31

A) I is the only identity.
B) II and II are the only identities.
C) I, II, and III are identities.
D) I and III are the only identities.

Question 32

Question 33

Use the half-angle formulas to determine the exact value of the following.

Question 34

Question 35

Question 36

Solve the following equation.

Question 37

Question 38

Solve the following equation.

Question 39

Question 40

Question 41

Question 42

Determine which of the following are trigonometric identities.

A) II and IV are the only identities.
B) II is the only identity.
C) III is the only identity.
D) I, III, and IV are the only identities.
E) I is the only identity.

Question 43

Verify the given identity.

Question 44

Use the cofunction identities to evaluate the expression below without the aid of a calculator.

Question 45

Question 46

Determine which of the following are trigonometric identities.

A) I is the only identity.
B) I and III are the only identities.
C) II and II are the only identities.
D) I and II are the only identities.
E) I, II, and III are identities.

Question 47

Solve the multi-angle equation below.

Question 48

Question 49

Question 50

Determine which of the following are trigonometric identities. 6

A) III is the only identity.
B) I, II, and III are identities.
C) I is the only identity.
D) None are identities.
E) II is the only identity.

Question 51

Question 52

Question 53

Question 54

A) 0.7, 3.0, 1.5, 4.7
B) 3.0, 1.5, 4.7, 5.6
C) 3.0, 2.3, 4.0, 5.6
D) 0.7, 2.3, 4.0, 5.6
E) 0.7, 1.5, 4.0, 6.3

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 66

Question 67

Determine which of the following are trigonometric identities.

A) I is the only identity.
B) I and II are the only identities.
C) III is the only identity.
D) I, II, and III are identities.
E) II is the only identity.

Question 68

A) 0.7, 2.0, 1.5, 4.8
B) 2.0, 1.5, 4.8, 5.6
C) 2.0, 2.2, 4.0, 5.6
D) 0.7, 2.2, 4.0, 5.6
E) 0.7, 1.5, 4.0, 6.3

Question 69

Question 70

Question 71

Question 72

Question 73

Question 74

Question 75

Question 76

Find all solutions of the following equation in the interval

Question 77

Question 78

Question 79

Question 80