Trigonometry Core Concepts 3

Question 1

What does the Pythagorean identity state?

Accepted Answer

sin²θ + cos²θ = 1

Answer

sinθ + cosθ = 1

Answer

tan²θ + 1 = sec θ

Answer

sin²θ - cos²θ = 1

Question 2

What is the range of the sine function?

Accepted Answer

[-1, 1]

Answer

[0, 1]

Answer

(-∞, ∞)

Answer

[0, ∞)

Question 3

If cos(θ) = 3/5, what is sin(θ) for θ in Quadrant I?

Accepted Answer

4/5

Answer

3/4

Answer

5/3

Answer

1/5

Question 4

What is the amplitude of y = 3sin(x)?

Accepted Answer

3

Answer

1

Answer

π

Answer

6

Question 5

Which angle has a tangent value that is undefined?

Accepted Answer

90°

Answer

45°

Answer

0°

Answer

180°

Question 6

What is the reference angle for 225°?

Accepted Answer

45°

Answer

135°

Answer

225°

Answer

315°

Question 7

What is cot(θ) expressed in terms of sin and cos?

Accepted Answer

cos(θ)/sin(θ)

Answer

sin(θ)/cos(θ)

Answer

1/cos(θ)

Answer

1/sin(θ)