# 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How to Send Assignments for Gradingβ 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₯ β 4 = β1 that are in the interval
[0,2π). [4 marks]
4) Page 433, Q. 50 [5 marks]
Section 6.3
5) Find the exact values of tan (
5π
12) and sin (
11π
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₯ β
π
3
) =
tanπ₯ββ3
β3 tan π₯+1
. [4 marks]
Section 6.4
8) Find the exact values of sin(2π), cos(2π), and tan(2π) when sin π = β
7
12
and
180β < π < 270β
. [6 marks]
Section 6.6
9) Find the exact values of the following expressions:
a) cosβ1
(
β3
2
) [2 marks]
b) tan (tanβ1
(β
β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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