Analytic Trigonometric Functions

Analytic Trigonometric Functions
(52 marks, 7%)
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 7% of
your final grade and will be marked out of 52. For detailed instructions on how to
submit your assignments go to β€œHow to Send Assignments for Grading” in your
Course Guide.
Section 6.1
1) Page 421, Q. 20 [4 marks]
Section 6.2
2) Page 432, Q. 34 [4 marks]
3) Find the solutions of the equation 4 cos2 π‘₯ βˆ’ 4 = βˆ’1 that are in the interval
[0,2πœ‹). [4 marks]
4) Page 433, Q. 50 [5 marks]
Section 6.3
5) Find the exact values of tan (
5πœ‹
12) and sin (
11πœ‹
12 ). The final answer should not
have radicals in the denominator. [5 marks]
6) Page 444, Q. 20 [6 marks]
7) Verify the identity tan (π‘₯ βˆ’
πœ‹
3
) =
tanπ‘₯βˆ’βˆš3
√3 tan π‘₯+1
. [4 marks]
Section 6.4
8) Find the exact values of sin(2πœƒ), cos(2πœƒ), and tan(2πœƒ) when sin πœƒ = βˆ’
7
12
and
180∘ < πœƒ < 270∘
. [6 marks]
Section 6.6
9) Find the exact values of the following expressions:
a) cosβˆ’1
(
√3
2
) [2 marks]
b) tan (tanβˆ’1
(βˆ’
√3
10)) [2 marks]
2 Assignment 6
TRU Open Learning
10) Page 472, Q. 54 [ 5 marks]
11) Page 473, Q. 74 [5 marks

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