Exam 2

Question 1

What is the formula for sine in a right triangle?

Answer 1

Sine = Opposite / Hypotenuse

Question 2

What is the formula for cosine in a right triangle?

Answer 2

Cosine = Adjacent / Hypotenuse

Question 3

What is the formula for tangent in a right triangle?

Answer 3

Tangent = Opposite / Adjacent

Question 4

True or False: The sine of an angle is equal to the cosine of its complement.

Answer 4

True

Question 5

What are the three reciprocal trigonometric functions?

Answer 5

Cosecant, Secant, Cotangent

Question 6

Fill in the blank: Cosecant is the reciprocal of _____.

Answer 6

Sine

Question 7

Fill in the blank: Secant is the reciprocal of _____.

Answer 7

Cosine

Question 8

Fill in the blank: Cotangent is the reciprocal of _____.

Answer 8

Tangent

Question 9

What is the formula for cosecant in terms of sine?

Answer 9

Cosecant = 1 / Sine

Question 10

What is the formula for secant in terms of cosine?

Answer 10

Secant = 1 / Cosine

Question 11

What is the formula for cotangent in terms of tangent?

Answer 11

Cotangent = 1 / Tangent

Question 12

What is the relationship between tangent and sine/cosine?

Answer 12

Tangent = Sine / Cosine

Question 13

What is the Pythagorean identity for sine and cosine?

Answer 13

Sine² + Cosine² = 1

Question 14

What is the formula for sine of the sum of two angles?

Answer 14

Sine(A + B) = Sine(A)Cosine(B) + Cosine(A)Sine(B)

Question 15

What is the formula for cosine of the sum of two angles?

Answer 15

Cosine(A + B) = Cosine(A)Cosine(B) - Sine(A)Sine(B)

Question 16

What is the formula for tangent of the sum of two angles?

Answer 16

Tangent(A + B) = (Tangent(A) + Tangent(B)) / (1 - Tangent(A)Tangent(B))

Question 17

True or False: The sine function is odd.

Answer 17

True

Question 18

True or False: The cosine function is odd.

Answer 18

False

Question 19

What is the formula for sine of the difference of two angles?

Answer 19

Sine(A - B) = Sine(A)Cosine(B) - Cosine(A)Sine(B)

Question 20

What is the formula for cosine of the difference of two angles?

Answer 20

Cosine(A - B) = Cosine(A)Cosine(B) + Sine(A)Sine(B)

Question 21

What is the formula for tangent of the difference of two angles?

Answer 21

Tangent(A - B) = (Tangent(A) - Tangent(B)) / (1 + Tangent(A)Tangent(B))

Question 22

What is the range of the sine function?

Answer 22

[-1, 1]

Question 23

What is the range of the cosine function?

Answer 23

[-1, 1]

Question 24

What is the range of the tangent function?

Answer 24

All real numbers

Question 25

What is the period of the sine function?

Answer 25

2π

Question 26

What is the period of the cosine function?

Answer 26

2π

Question 27

What is the period of the tangent function?

Answer 27

π

Question 28

What is the sine of 0 degrees?

Answer 28

0

Question 29

What is the cosine of 90 degrees?

Answer 29

0

Question 30

True or False: The tangent of 45 degrees is 1.

Answer 30

True

Question 31

What is the value of sine at 30 degrees?

Answer 31

1/2

Question 32

What is the cosine of 60 degrees?

Answer 32

1/2

Question 33

Fill in the blank: The tangent of 30 degrees is _____.

Answer 33

1/√3

Question 34

What are the coordinates of the point at 180 degrees on the unit circle?

Answer 34

(-1, 0)

Question 35

What is the sine of 90 degrees?

Answer 35

1

Question 36

What is the cosine of 120 degrees?

Answer 36

-1/2

Question 37

True or False: The sine and cosine of 45 degrees are equal.

Answer 37

True

Question 38

What is the value of tangent at 60 degrees?

Answer 38

√3

Question 39

What is the sine of 270 degrees?

Answer 39

-1

Question 40

What is the cosine of 240 degrees?

Answer 40

-1/2

Question 41

Fill in the blank: The tangent of 90 degrees is _____.

Answer 41

undefined

Question 42

What are the coordinates of the point at 270 degrees on the unit circle?

Answer 42

(0, -1)

Question 43

What is the sine of 45 degrees?

Answer 43

√2/2

Question 44

What is the cosine of 315 degrees?

Answer 44

√2/2

Question 45

True or False: The tangent of 180 degrees is 0.

Answer 45

True

Question 46

What is the value of sine at 120 degrees?

Answer 46

√3/2

Question 47

What is the cosine of 135 degrees?

Answer 47

-√2/2

Question 48

Fill in the blank: The sine of 360 degrees is _____.

Answer 48

0

Question 49

What is the tangent of 150 degrees?

Answer 49

-√3/3

Question 50

What are the coordinates of the point at 90 degrees on the unit circle?

Answer 50

(0, 1)

Question 51

What is the sine of 210 degrees?

Answer 51

-1/2

Question 52

What is the cosine of 330 degrees?

Answer 52

√3/2

Question 53

True or False: The cosine of an angle is the x-coordinate on the unit circle.

Answer 53

True

Question 54

What is the value of tangent at 315 degrees?

Answer 54

-1

Question 55

What is the formula to convert degrees to radians?

Answer 55

Radians = Degrees × (π / 180)

Question 56

What is the formula to convert radians to degrees?

Answer 56

Degrees = Radians × (180 / π)

Question 57

True or False: 180 degrees is equal to π radians.

Answer 57

True

Question 58

Fill in the blank: 90 degrees is equal to _____ radians.

Answer 58

π/2

Question 59

What is the radian measure of 360 degrees?

Answer 59

2π

Question 60

Convert 45 degrees to radians.

Answer 60

π/4

Question 61

Convert π/3 radians to degrees.

Answer 61

60 degrees

Question 62

What is the radian measure of 30 degrees?

Answer 62

π/6

Question 63

True or False: 270 degrees is equal to 3π/2 radians.

Answer 63

True

Question 64

Convert 120 degrees to radians.

Answer 64

2π/3

Question 65

Fill in the blank: 1 radian is approximately equal to _____ degrees.

Answer 65

57.2958

Question 66

What is the degree measure of 5π/6 radians?

Answer 66

150 degrees

Question 67

Convert 150 degrees to radians.

Answer 67

5π/6

Question 68

What is the radian measure of 0 degrees?

Answer 68

0

Question 69

True or False: 360 degrees is equal to 0 radians.

Answer 69

True

Question 70

Convert 2π radians to degrees.

Answer 70

360 degrees

Question 71

What is the degree measure of π/4 radians?

Answer 71

45 degrees

Question 72

Fill in the blank: 180 degrees is equal to _____ radians.

Answer 72

π

Question 73

Convert 135 degrees to radians.

Answer 73

3π/4

Question 74

What is the radian measure of 1 degree?

Answer 74

π/180

Question 75

True or False: The conversion factor from degrees to radians is π/180.

Answer 75

True

Question 76

Convert 240 degrees to radians.

Answer 76

4π/3

Question 77

What is the degree measure of 2π/3 radians?

Answer 77

120 degrees

Question 78

Fill in the blank: 60 degrees is equal to _____ radians.

Answer 78

π/3

Question 79

What is the radian measure of 150 degrees?

Answer 79

5π/6

Question 80

Convert 3π/2 radians to degrees.

Answer 80

270 degrees

Question 81

True or False: 45 degrees is equal to π/2 radians.

Answer 81

False