Understanding Trigonometric Ratios

What is the sine of a 30-degree angle?

• 0.5

• 1.0

• 0.25

• 0.75

Calculate the cosine of a 45-degree angle.

• 0.5

• 1.0

• 0.866

• 0.7071

What is the tangent of a 60-degree angle?

• 0

• 1

• √2

• √3

If sin(θ) = 0.5, what is θ?

• 30°, 150°

• 90°

• 180°

• 0°

What is the relationship between sine and cosine?

• Cosine is always greater than sine for any angle.

• Sine and cosine are identical functions with the same values.

• Sine is the derivative of cosine for all angles.

• Sine and cosine are complementary functions related by the identity sin(θ) = cos(90° - θ).

Find the value of cos(0 degrees).

• 0

• 1

• 1.5

• -1

What is the tangent of a 90-degree angle?

• undefined

• 0

• 1

• infinity

If tan(θ) = 1, what is the value of θ?

• θ = 45° + n*180°, n ∈ ℤ

• θ = 90° + n*180°, n ∈ ℤ

• θ = 30° + n*180°, n ∈ ℤ

• θ = 60° + n*180°, n ∈ ℤ

Explain how to find the sine of an angle in a right triangle.

• The sine of an angle is the sum of the lengths of the adjacent sides.

• The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

• The sine of an angle is the product of the lengths of the opposite and adjacent sides.

• The sine of an angle is the difference between the lengths of the hypotenuse and the opposite side.

What is the formula for tangent in terms of sine and cosine?

• tan(θ) = sin(θ) / cos(θ)

• tan(θ) = sin(θ) - cos(θ)

• tan(θ) = sin(θ) + cos(θ)

• tan(θ) = cos(θ) / sin(θ)