Deck 7: Trigonometric Identities and Equations

Question 1

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

Answer 1

A

Question 2

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

Answer 2

D

Question 3

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

Answer 3

B

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

Perform the transformation.

Question 22

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

Question 23

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

Question 24

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

Question 25

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

Question 26

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

Question 27

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

Question 28

Perform the transformation.

Question 29

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

Question 30

Perform the transformation.

Question 31

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

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.

Question 33

Perform the transformation.

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

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

Question 37

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

Question 38

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

Question 39

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

Question 40

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

Question 41

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

Question 42

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

Question 43

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

Question 44

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

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.

Question 47

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

Question 48

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

Question 49

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

Question 50

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

Question 51

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

Question 52

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

Question 53

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

Question 54

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

Question 55

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

Question 56

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

Question 57

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

Question 58

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

Question 59

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

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

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

Question 64

Factor the trigonometric expression and simplify.

Question 65

Factor the trigonometric expression and simplify.

Question 66

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

Question 67

Factor the trigonometric expression and simplify.

Question 68

Use the fundamental identities to simplify the expression.

Question 69

Factor the trigonometric expression and simplify.

Question 70

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

Question 71

Use the fundamental identities to simplify the expression.

Question 72

Use the fundamental identities to simplify the expression.

Question 73

Factor the trigonometric expression and simplify.

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

Factor the trigonometric expression and simplify.

Question 78

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

Question 79

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

Question 80

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