Trigonometry Review

Question 1

Practice question: how many radians in a complete circle?

Accepted Answer

2 pi

Question 2

What is cos (-π/3)?

Accepted Answer

1/2

Question 3

If θ = 5π/4, what is θ'?

Accepted Answer

π/4

Question 4

What is the complement, in radians, of 30°?

Accepted Answer

pi/3

Question 5

What is the cosine of π/4?

Accepted Answer

sqrt(2)/2

Question 6

What angle in Quadrant 2 satisfies cosθ=-√3/2?

Accepted Answer

-210°

Question 7

Which expression gives us the height of the tree?

Accepted Answer

height = tan(40°)*75

Question 8

How many radians in 240°?

Accepted Answer

4 pi/3

Question 9

Which of these is a coordinate pair on the terminal side of a 30° angle in standard position?

Accepted Answer

(√3/2,1/2)

Question 10

What is the sine of 13π/ 6?

Accepted Answer

1/2

Question 11

What is tan(5π/4)?

Accepted Answer

1

Question 12

Convert 135° to radians.

Accepted Answer

3 pi/4

Question 13

What is the cosine ratio?

Accepted Answer

adj/hyp

Question 14

What is the area of the sector?

Accepted Answer

147π/2 m2

Question 15

What is the arc length AB?

Accepted Answer

4π

Question 16

Functions, like sine and cosine, that behave in a repetitive or cyclical manner are called?

Accepted Answer

periodic

Question 17

What is the sine of π/6?

Accepted Answer

1/2

Question 18

If sin(θ) = √2/2, what is θ?

Accepted Answer

45° or 3π/4 radians

Question 19

What is the tangent of π/3?

Accepted Answer

sqrt(3)

Question 20

If sin θ = 1/2, what is θ?

Accepted Answer

π/6

Question 21

Express 3π/2 in degree measure.

Accepted Answer

270

Question 22

Simplify the expression: 2π/(1/3)

Accepted Answer

6 π

Question 23

Which two functions are reciprocals?

Accepted Answer

cos and sec

Question 24

Solve for x: 3πx + 6π = 2π

Accepted Answer

-4/3

Question 25

Evaluate tan(π/2).

Accepted Answer

undefined

Question 26

Which expression tells us the altitude of the airplane?

Accepted Answer

h = 1000*cos(60°)

Question 27

What is the sine ratio?

Accepted Answer

opposite/hypotenuse

Question 28

What is the radius of the unit circle?

Accepted Answer

1

Question 29

What is the period of the sine function?

Accepted Answer

2π

Question 30

What value of θ between 0 and π makes this statement true? cos(11π/4)=cos(θ)

Accepted Answer

3π/4

Question 31

If tan θ = 1, what is θ?

Accepted Answer

π/4

Trigonometry Review

Questions 31

Trigonometry Review

Questions 31