MATH 1310

MA1310: Module 3 Graphs of Other Trigonometric Functions

Exercise 3.1

Graphs of Inverse Trigonometric Functions

1

The purpose of this assessment is to help you determine whether you have a clear understanding of graphs

of inverse trigonometric functions.

1. Using the triangle above, find the exact value of the following:

a. sin (θ)

b. cos (θ)

c. tan (θ)

d. cot (θ)

e. sec (θ)

2. Evaluate the following: sin (sin–1(1/2) + sin–1(5/13)).

3. Using the results for question 1 above, let x = 12 and y = 9. Evaluate sin (θ) – tan (θ).

4. Find the angle of elevation from the point on the ground 100 feet from the base of a building that is 250

feet tall.

5. Find the following:

a. sin – 1(sin(3π/4))

b. cos – 1(cos(5π/4))

c. sin – 1(sin(π/4))

d. cos – 1(cos(π/6))

e. For the results in a, b, c, and d, where the inverse cannot be directly applied, explain why this is

so.

Submission Requirements:

Submit your response in a Microsoft Word document of the following specifications:

 Font: Arial; Point 12

 Spacing: Double

X

y θ

MA1310: Module 3 Graphs of Other Trigonometric Functions

Exercise 3.1

Graphs of Inverse Trigonometric Functions

2

Evaluation Criteria:

Your submission will be evaluated against the following criteria:

 Did you include appropriate steps to determine the answers to questions, wherever required?

 Did you submit your answers in an organized fashion that was legible and easy to follow?

 Did you correctly answer each question?