Tangent Function Mastery - Grade 10

Tangent Function Mastery

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?

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

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.

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

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