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Trigonometric Functions Worksheet

Explore trigonometric functions, ratios, and their applications in right-angled triangles for Grade 9 mathematics.

Grade 9 Math TrigonometryTrigonometric Functions
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSG.SRT.C.6CCSS.MATH.CONTENT.HSG.SRT.C.7CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

trigonometrysinecosinetangentright trianglegrade 9 math
7 sections · Free to use · Printable
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Trigonometric Functions

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. In a right-angled triangle, if the opposite side to an angle is 5 units and the hypotenuse is 13 units, what is the value of the sine of that angle?

a

5/12

b

12/5

c

5/13

d

13/5

2. Which trigonometric ratio relates the adjacent side to the hypotenuse?

a

Sine

b

Cosine

c

Tangent

d

Cosecant

1. The acronym SOH CAH TOA helps remember the definitions of   ratios.

2. The   of an angle in a right triangle is the ratio of the opposite side to the adjacent side.

3. The longest side of a right-angled triangle is called the  .

1. Consider a right-angled triangle with an angle θ. If sin(θ) = 3/5, what are the values of cos(θ) and tan(θ)? Show your work.

AdjacentOppositeHypotenuseθ

cos(θ) =  

tan(θ) =  

2. A ladder is leaning against a wall, forming an angle of 60 degrees with the ground. If the base of the ladder is 4 meters away from the wall, how long is the ladder?

1. The value of sin(90°) is 1.

T

True

F

False

2. Tan(θ) = sin(θ) / cos(θ).

T

True

F

False

Match each trigonometric ratio with its definition.

1. Sine

 

a. Opposite / Hypotenuse

2. Cosine

 

b. Adjacent / Hypotenuse

3. Tangent

 

c. Opposite / Adjacent