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.
Includes
Standards
Topics
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.
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