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Trigonometric Functions Worksheet

Grade 10 Math worksheet covering trigonometric functions, unit circle, and basic identities.

Grade 10 Math TrigonometryTrigonometric Functions
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseGraph

Standards

CCSS.MATH.CONTENT.HSF.TF.A.1CCSS.MATH.CONTENT.HSF.TF.A.2CCSS.MATH.CONTENT.HSF.TF.C.8

Topics

TrigonometryTrigonometric FunctionsUnit CircleGrade 10 Math
8 sections · Free to use · Printable
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Trigonometric Functions

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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 value of sin(30°)?

a

1/2

b

√3/2

c

1

d

0

2. Which of the following is equivalent to tan(θ)?

a

sin(θ) / cos(θ)

b

cos(θ) / sin(θ)

c

1 / sin(θ)

d

1 / cos(θ)

3. The   is a circle with a radius of one unit, centered at the origin of a coordinate plane.

4. The sine function is positive in the first and   quadrants.

5. Draw a unit circle and label the angles 0°, 90°, 180°, and 270° along with their corresponding coordinates.

(0,1)90°(0,-1)270°(1,0)(-1,0)180°

6. The range of the sine function is all real numbers.

T

True

F

False

7. If cos(θ) = 3/5 and θ is in the first quadrant, find the exact value of sin(θ) and tan(θ).

8. Sketch one cycle of the graph of y = sin(x) on the coordinate plane below.

-4-3-2-11234-4-3-2-11234