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Date:________
Period:_______
Chapter 9: Trig Functions
Topic 2 Homework: Quadratic Trigonometric Equations
Solve for all values of 𝜃, to the nearest degree, in the interval 0° ≤ 𝜃 < 360°.
Complete on a separate sheet of paper showing all work and sketches.
Follow the steps from your notes:
1. Isolate the function by factoring or quadratic formula
2. Find the reference angle (only use POSITIVE value)
3. Determine which quadrants the angle is in based on if it is positive or negative.
4. Draw out your quadrants and use that to help you find ALL angles that work for the equation
5. Check both answers in your calculator
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cos2  + 7cos  – 8 = 0
tan2  + tan  = 12
2sin2  + 4sin  = 0
cos2θ – cos θ = 0
2tan2  - 3tan  – 5 = 0
12cos2  – 3 = 5cos 
5sin2  + 26sin  + 5 = 0
8tan2  = 22tan  – 15