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WorksheetsUnderstanding Trigonometric Ratios
Total questions: 10
Worksheet time: 5mins
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)
