Grade 12 Trigonometric Functions Worksheet

Explore and apply trigonometric functions, including unit circle concepts, identities, and graphing, suitable for Grade 12 mathematics students.

Grade 12 Math TrigonometryTrigonometric Functions

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.A.1CCSS.MATH.CONTENT.HSF.TF.A.2CCSS.MATH.CONTENT.HSF.TF.B.5

Topics

TrigonometryTrigonometric FunctionsUnit CircleGrade 12 Math

8 sections · Free to use · Printable

Grade 12 Trigonometric Functions

Name:

Date:

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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.