Exploring Trigonometric Functions

What is the sine of 30 degrees?

• 0.5

• 0.75

• 1.0

• 0.25

What is the cosine of 45 degrees?

• 0.866

• 1.0

• 0.7071

• 0.5

Define the tangent function 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)

What is the value of sin(90°)?

• 1.5

• 0

• 1

• -1

How are the sine and cosine functions related to the unit circle?

• Sine represents the angle while cosine represents the radius of the unit circle.

• Both sine and cosine functions are only applicable to right triangles.

• Sine and cosine functions represent the y and x coordinates, respectively, of points on the unit circle.

• Sine and cosine functions are only defined for angles greater than 90 degrees.

What is the co-function identity for sine?

• sin(θ) = cos(90° - θ)

• sin(θ) = sin(90° - θ)

• sin(θ) = cos(θ)

• sin(θ) = tan(90° - θ)

Calculate the cosine of 60 degrees.

• 1

• 0

• -0.5

• 0.5

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

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

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

• sin(θ) = cos(θ) for all angles.

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

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

• 0°

• 90°

• 180°

• 30° and 150°

What is the value of tan(45°)?

• 1

• 1.5

• 2

• 0