Exploring Sine and Cosine

What is the sine of 30 degrees?

• 0.75

• 0.25

• 1.0

• 0.5

What is the cosine of 60 degrees?

• 0

• -0.5

• 1

• 0.5

If sin(θ) = 0.5, what is θ in degrees?

• 30°, 150°

• 120°

• 90°

• 60°

What is the relationship between sine and cosine for complementary angles?

• sin(θ) = sin(90° - θ) for complementary angles.

• sin(θ) = cos(90° - θ) for complementary angles.

• cos(θ) = sin(90° + θ) for complementary angles.

• sin(θ) = cos(θ) for all angles.

Calculate sin(45 degrees).

• 0.5

• 1.0

• 0.866

• 0.7071

What is the value of cos(0 degrees)?

• 0.5

• 1

• -1

• 0

If cos(θ) = 0, what are the possible values of θ?

• θ = 0 + kπ, where k is any integer.

• θ = π/2 + kπ, where k is any integer.

• θ = π/4 + kπ, where k is any integer.

• θ = 3π/2 + kπ, where k is any integer.

What is the sine of 90 degrees?

• 0

• 1.5

• 1

• -1

How does the sine function behave in the first quadrant?

• The sine function is negative in the first quadrant.

• The sine function is positive and increases from 0 to 1 in the first quadrant.

• The sine function decreases from 1 to 0 in the first quadrant.

• The sine function is constant at 0.5 in the first quadrant.

What is the cosine of 90 degrees?

• 1

• 0.5

• 0

• -1