Trigonometry Core Concepts 4

Question 1

In a right triangle with legs 7 and 24, what is the cosine of the angle opposite the leg of length 7?

Accepted Answer

24/25

Answer

7/25

Answer

7/24

Answer

24/7

Question 2

What is the exact value of sin(60°)?

Accepted Answer

√3/2

Answer

1/2

Answer

√2/2

Answer

1

Question 3

The graph of y = sin(2x) compared to y = sin(x) has a period that is:

Accepted Answer

Half as long

Answer

Twice as long

Answer

The same

Answer

Four times as long

Question 4

What is the cofunction of sin(30°)?

Accepted Answer

cos(60°)

Answer

cos(30°)

Answer

tan(60°)

Answer

sin(60°)

Question 5

Which of the following equals sec(θ)?

Accepted Answer

1/cos(θ)

Answer

1/sin(θ)

Answer

cos(θ)/sin(θ)

Answer

sin(θ)/cos(θ)

Question 6

What is the domain of y = tan(x)?

Accepted Answer

All reals except odd multiples of π/2

Answer

All real numbers

Answer

[-1, 1]

Answer

All reals except multiples of π

Question 7

If sin(θ) = -√2/2 and θ is in Quadrant III, what is θ in degrees?

Accepted Answer

225°

Answer

135°

Answer

315°

Answer

240°