Tangent Function Mastery - Grade 10

This worksheet focuses on understanding and applying the tangent function in right-angled triangles and on the coordinate plane for Grade 10 students.

Grade 10 Math TrigonometryTangent Function

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

trigonometrytangentright trianglesanglesgrade 10

7 sections · Free to use · Printable

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Tangent Function Mastery

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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, the tangent of an angle is defined as the ratio of which two sides?

Opposite / Hypotenuse

Adjacent / Hypotenuse

Opposite / Adjacent

Hypotenuse / Opposite

2. If tan(θ) = 1, what is the measure of angle θ?

30°

45°

60°

90°

3. The tangent function is undefined when the adjacent side of the angle is .

4. The range of the tangent function is .

5. Consider the right-angled triangle below. Find the value of tan(A).

6. A ladder leans against a wall, making an angle of 60° with the ground. If the base of the ladder is 4 meters from the wall, how high up the wall does the ladder reach? (Round your answer to two decimal places.)

7. The value of tan(90°) is 0.

True

False

8. As an acute angle in a right triangle increases, its tangent value also increases.

True

False

9. Draw the graph of y = tan(x) for x from -π/2 to 3π/2 on the coordinate plane below. Label the asymptotes.