5 homework of Math 1001

MATH 1001: Pre-Calculus Mathematics 1

TRU Open Learning

Assignment 5: Introduction to Trigonometry (50 marks, 6%)

Complete the following questions from the textbook. Show all your work, as full credit

will not be given for inadequately explained answers. This assignment is worth 6% of

your final grade and will be marked out of 50. For detailed instructions on how to

submit your assignments go to “How to Send Assignments for Grading” in your

Course Guide.

Section 5.1

1) Page 332, Q. 34 [4 marks]

Section 5.2

2) Page 348, Q. 44 [4 marks]

3) Page 348, Q. 62 [4 marks]

4) Verify the identity sin𝜃+tan𝜃

1+sec𝜃 = sin 𝜃 by transforming the left-hand side into the

right-hand side. [4 marks]

5) Use fundamental identities to find the value of tan 𝜃, when csc 𝜃 = 3 and

tan 𝜃 < 0. [6 marks]

Section 5.3

6) Page 364, Q. 26 [4 marks]

7) Refer to the graph of 𝑦 = cos𝑥 to find all the values of 𝑥 that satisfy the

equation cos 𝑥 = √3

2 . [4 marks]

Section 5.4

8) Find the exact values of sec(−225∘) and sec(−5𝜋/6). [4 marks]

Section 5.5

9) Page 383, Q. 32 [6 marks]

Section 5.6

10) Page 391, Q. 18 [6 marks]

2 Assignment 5

TRU Open Learning

Section 5.7

11) Given a triangle 𝐴𝐵𝐶, let 𝛾 = 90∘, 𝛽 = 60∘, and 𝑎 = 5. Find the exact values of

the remaining parts. [4 marks]

Select questions associated with the following course textbook are used with

permission from Cengage Learning:

Swokowski, E. W., & Cole, J. A. (2012). Precalculus: Functions and graphs

(12th ed.). Belmont, CA: Brooks/Cole, Cengage Learning