Grade 12 Trigonometric Functions Worksheet
Explore and apply trigonometric functions, including unit circle concepts, identities, and graphing, suitable for Grade 12 mathematics students.
Includes
Standards
Topics
Grade 12 Trigonometric Functions
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the exact value of sin(210°)?
1/2
-1/2
sqrt(3)/2
-sqrt(3)/2
2. Which of the following is an identity?
sin(x) = cos(x)
sin^2(x) - cos^2(x) = 1
tan(x) = sin(x)/cos(x)
cot(x) = sec(x)/csc(x)
3. The is a circle with a radius of one unit centered at the origin of a coordinate plane.
4. The period of the function y = sin(x) is .
5. Explain how to convert an angle from degrees to radians.
6. Use the unit circle below to find the exact values of sin(θ), cos(θ), and tan(θ) for the given angle θ.
Angle θ = 135°
sin(135°) =
cos(135°) =
tan(135°) =
7. The range of the tangent function is all real numbers.
True
False
8. The amplitude of y = 3cos(2x) is 2.
True
False
9. Sketch one full period of the function y = 2sin(x) on the coordinate plane below. Label the amplitude and period.
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