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In this lesson, we will learn how to solve a trigonometric equation using factoring.
Q1:
Find the set of values satisfying 2 √ 2 𝜃 + 2 𝜃 = 0 c o s c o s given 0 < 𝜃 ≤ 3 6 0 ∘ ∘ .
Q2:
Create Equation B by squaring both sides of Equation A. Use the fact that s i n c o s 𝜃 + 𝜃 = 1 to simplify Equation B.
Now, use a double angle formula to further simplify Equation B.
The solutions to Equation A are a subset of the solutions of Equation B. Using this, solve Equation A over the specified range.
Q3:
Solve √ 2 𝜃 + √ 3 𝜃 = 2 s i n c o s , where 0 < 𝜃 ≤ 2 𝜋 . Give your answer in radians to three significant figures.
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