Deck 8: Trigonometric Identities and Equations

Question 1

Use the fundamental identities to find the value of the trigonometric function.

Answer 1

D

Question 2

Use the fundamental identities to find the value of the trigonometric function.

Answer 2

B

Question 3

Use the fundamental identities to find the value of the trigonometric function.

Answer 3

A

Question 4

Use the fundamental identities to find the value of the trigonometric function.

Question 5

Use the fundamental identities to find the value of the trigonometric function.

Question 6

Use the fundamental identities to find the value of the trigonometric function.

Question 7

Use the fundamental identities to find the value of the trigonometric function.

Question 8

Use the fundamental identities to find the value of the trigonometric function.

Question 9

Use the fundamental identities to find the value of the trigonometric function.

Question 10

Use the fundamental identities to find the value of the trigonometric function.

Question 11

Use the fundamental identities to find the value of the trigonometric function.

Question 12

Use the fundamental identities to find the value of the trigonometric function.

Question 13

Use the fundamental identities to find the value of the trigonometric function.

Question 14

Use the fundamental identities to find the value of the trigonometric function.

Question 15

Use the fundamental identities to find the value of the trigonometric function.

Question 16

Use the fundamental identities to find the value of the trigonometric function.

Question 17

Use the fundamental identities to find the value of the trigonometric function.

Question 18

Use the fundamental identities to find the value of the trigonometric function.

Question 19

Use the fundamental identities to find the value of the trigonometric function.

Question 20

Use the fundamental identities to find the value of the trigonometric function.

Question 21

Complete the sentence so the result is an identity. Let x be any real number.

Question 22

Complete the sentence so the result is an identity. Let x be any real number.

Question 23

For the graph of a circular function y = f(x), determine whether f(-x) = f(x) or f(-x) = -f(x) is true.

A) f(-x) = -f(x)
B) f(-x) = f(x)

Question 24

Perform the transformation.

Question 25

For the graph of a circular function y = f(x), determine whether f(-x) = f(x) or f(-x) = -f(x) is true.

A) f(-x) = -f(x)
B) f(-x) = f(x)

Question 26

For the graph of a circular function y = f(x), determine whether f(-x) = f(x) or f(-x) = -f(x) is true.

A) f(-x) = -f(x)
B) f(-x) = f(x)

Question 27

Perform the transformation.

Question 28

For the graph of a circular function y = f(x), determine whether f(-x) = f(x) or f(-x) = -f(x) is true.

A) f(-x) = -f(x)
B) f(-x) = f(x)

Question 29

Perform the transformation.

Question 30

Complete the sentence so the result is an identity. Let x be any real number.

Question 31

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 32

For the graph of a circular function y = f(x), determine whether f(-x) = f(x) or f(-x) = -f(x) is true.

A) f(-x) = -f(x)
B) f(-x) = f(x)

Question 33

For the graph of a circular function y = f(x), determine whether f(-x) = f(x) or f(-x) = -f(x) is true.

A) f(-x) = -f(x)
B) f(-x) = f(x)

Question 34

Complete the sentence so the result is an identity. Let x be any real number.

Question 35

Complete the sentence so the result is an identity. Let x be any real number.

Question 36

Complete the sentence so the result is an identity. Let x be any real number.

Question 37

Complete the sentence so the result is an identity. Let x be any real number.

Question 38

Complete the sentence so the result is an identity. Let x be any real number.

Question 39

Complete the sentence so the result is an identity. Let x be any real number.

Question 40

Perform the transformation.

Question 41

Use a graphing calculator to make a conjecture as to whether each equation is an identity.

A) Not an Identity
B) Identity

Question 42

Perform the indicated operations and simplify the result so there are no quotients.

Question 43

Use a graphing calculator to make a conjecture as to whether each equation is an identity.

A) Not an identity
B) Identity

Question 44

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 45

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 46

Use a graphing calculator to make a conjecture as to whether each equation is an identity.

A) Identity
B) Not an identity

Question 47

Use a graphing calculator to make a conjecture as to whether each equation is an identity.

A) Identity
B) Not an Identity

Question 48

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 49

Use a graphing calculator to make a conjecture as to whether each equation is an identity.

A) Not an identity
B) Identity

Question 50

Perform the indicated operations and simplify the result so there are no quotients.

Question 51

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 52

Use a graphing calculator to make a conjecture as to whether each equation is an identity.

A) Not an identity
B) Identity

Question 53

Use a graphing calculator to make a conjecture as to whether each equation is an identity.

A) Identity
B) Not an Identity

Question 54

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 55

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 56

Perform the indicated operations and simplify the result so there are no quotients.

Question 57

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 58

Perform the indicated operations and simplify the result so there are no quotients.

Question 59

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 60

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.

Question 61

Use the fundamental identities to simplify the expression.

Question 62

Use the fundamental identities to simplify the expression.

Question 63

Factor the trigonometric expression and simplify.

Question 64

Perform the indicated operations and simplify the result so there are no quotients.

Question 65

Factor the trigonometric expression and simplify.

Question 66

Use the fundamental identities to simplify the expression.

Question 67

Factor the trigonometric expression and simplify.

Question 68

Factor the trigonometric expression and simplify.

Question 69

Perform the indicated operations and simplify the result so there are no quotients.

Question 70

Factor the trigonometric expression and simplify.

Question 71

Perform the indicated operations and simplify the result so there are no quotients.

Question 72

Perform the indicated operations and simplify the result so there are no quotients.

Question 73

Use the fundamental identities to simplify the expression.

Question 74

Use the fundamental identities to simplify the expression.

Question 75

Use the fundamental identities to simplify the expression.

Question 76

Use the fundamental identities to simplify the expression.

Question 77

Perform the indicated operations and simplify the result so there are no quotients.

Question 78

Use the fundamental identities to simplify the expression.

Question 79

Factor the trigonometric expression and simplify.

Question 80

Perform the indicated operations and simplify the result so there are no quotients.