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Tangent Function Basics - Grade 7

Explore the basics of the tangent function in right-angled triangles for Grade 7 mathematics.

Grade 7 Math TrigonometryTangent Function
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Includes

Text2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathtrigonometrytangentgrade 7
8 sections · Free to use · Printable
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Tangent Function Basics

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

The tangent of an angle in a right-angled triangle is the ratio of the length of the opposite side to the length of the adjacent side.

Tangent (θ) = Opposite / Adjacent

1. Consider the right-angled triangle below. If the side opposite to angle A is 8 units and the side adjacent to angle A is 6 units, what is the tangent of angle A?

Adjacent = 6Opposite = 8ABC

2. In a right-angled triangle, if the opposite side is 12 and the adjacent side is 5, the tangent of the angle is  .

3. Which of the following ratios represents the tangent of an angle?

a

Hypotenuse / Opposite

b

Adjacent / Hypotenuse

c

Opposite / Adjacent

d

Opposite / Hypotenuse

4. The tangent function is only applicable to right-angled triangles.

T

True

F

False

5. In a right-angled triangle, if angle B is the reference angle, and the side opposite to B is 15 units and the side adjacent to B is 20 units, calculate the tangent of angle B.