# Worksheet: Solving a Trigonometric Equation

In this worksheet, we will practice solving a trigonometric equation using factoring or squaring.

**Q3: **

Find all the possible general solutions of .

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**Q4: **

Find the set of values satisfying where . Give the answers to the nearest second.

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**Q8: **

Find the set of values satisfying given .

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**Q9: **

Find all the possible general solutions of .

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**Q10: **

Find the set of values satisfying where . Give the answers to the nearest second.

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**Q11: **

Find the set of values satisfying where . Give the answers to the nearest second.

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**Q13: **

Consider the equation , where . Call this Equation A.

Create Equation B by squaring both sides of Equation A. Use the fact that to simplify Equation B.

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Now, use a double angle formula to further simplify Equation B.

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The solutions to Equation A are a subset of the solutions of Equation B. Using this, solve Equation A over the specified range.

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**Q20: **

If , then the general solution is , where .

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**Q21: **

If , then the number of solutions of the equation is .

- A2
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- C5
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**Q22: **

The number of solutions of the equation is .

- A1
- B3
- Czero
- D2

**Q23: **

The solution set of the equation , where , is .

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