Understanding Trigonometric Ratios

What is the sine of a 30-degree angle?

• 0.75

• 0.5

• 1.0

• 0.25

What is the cosine of a 60-degree angle?

• 0.5

• 1.0

• 0.25

• 0.866

What is the tangent of a 45-degree angle?

• -1

• 0

• 1.5

• 1

Identify the sine ratio in a right triangle with an angle of 45 degrees.

• 0.5

• √3/2

• √2/2

• 1/√2

What is the cosine of a 30-degree angle?

• 0

• √2/2

• 1/2

• √3/2

What is the tangent of a 60-degree angle?

• √2

• 1

• √3

• 0

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

• 90°

• 30° and 150°

• 0°

• 180°

If cos(θ) = 0.866, what is θ in degrees?

• 30

• 45

• 60

• 90

What is the relationship between sine, cosine, and tangent?

• Tangent is the sum of sine and cosine (tan(θ) = sin(θ) + cos(θ)).

• Tangent is the ratio of sine to cosine (tan(θ) = sin(θ) / cos(θ)).

• Cosine is the product of sine and tangent (cos(θ) = sin(θ) * tan(θ)).

• Sine is the ratio of tangent to cosine (sin(θ) = tan(θ) / cos(θ)).

In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

• 1.0

• 0.4

• 0.8

• 0.6