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Trigonometric Functions Unit Assignment
DROPBOX: Trigonometric Functions Unit Assignment
The following questions are to be answered with full solutions. Be sure to focus on proper
mathematical form, including: (5)
One equal sign per line
Equal signs in each question lined up vertically with each other
No self-developed short form notation
One step or idea per line (do not do steps in your head that are not written down;
each line must represent a step-by-step progression from question to answer)
1. Determine whether -105° and -465° are co-terminal angles. (5)
2. Determine and sketch the principle angle for the reference angle 35° in quadrant II. (6)
3. In ΔABC, a = 7.2cm, b = 9.3cm, ∠A = 35° (6)
a. Determine the number of possible solutions.
b. Determine the measure of ∠B if it exists.
4. Simplify the following expressions. (6)
a. cos(180° + x) + cos(180° – x)
b. cos(126°)cos(36°) + sin(126°)sin(36°)
5. Prove the following identities. (6)
a.
b.
6. Verify the following for : (5)
Listen
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7. Verify the following algebraically: (5)
8. For sin(θ) = -0.4321, 0 ≤ θ ≤ 360°. (8)
a. How many solutions are possible?
b. In which quadrants would you find the solutions?
c. Determine the reference angle for this equation to the nearest degree.
d. Determine all the solutions to the equation to the nearest degree.
9. Solve the following quadratic trig equations algebraically (without graphing technology)
for the domain 0 ≤ x ≤ 360°. Use exact solutions whenever possible. (12)
a. 6cos (θ) + cos(θ) – 1 = 0
b. 2 – 2sin (θ) = cos(θ)
Assessment OF: This assignment will be evaluated for a grade or mark that will contribute to your overall final mark in this course.
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