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Solving Trig Equations - Worksheet 9 - 11th Grade

Hard

Practice exact trigonometric values and identities with angle units and domains stated.

hard: Use another set to practice explaining and checking your answers.

23 problems · 25-30 minutes · Skills: trigonometry, equations, algebra

About This Worksheet

This hard-level worksheet contains 23 problems designed for 11th Grade students practicing solving trig equations. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Use radians, the unit circle and exact special-angle values.

  • Practice exact trigonometric values and identities with angle units and domains stated.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Solve 7sin θ = 0 for 0 ≤ θ < 2π. Give radians.
Solution Steps:
  1. Divide by 7.
  2. Find all unit-circle angles with the required coordinate equal to zero.
  3. Include 0 when valid; exclude 2π.
Answer: 0, π
Tip: Check your result using the method in the example before moving to the next question.
1
Solve 2sin θ = 0 for 0 ≤ θ < 2π. Give radians.
2
Solve 2cos θ = 0 for 0 ≤ θ < 2π. Give radians.
3
Solve 4sin θ = 0 for 0 ≤ θ < 2π. Give radians.
4
Solve 9cos θ = 0 for 0 ≤ θ < 2π. Give radians.
5
Solve 9sin θ = 0 for 0 ≤ θ < 2π. Give radians.
6
Solve 5cos θ = 0 for 0 ≤ θ < 2π. Give radians.
7
Solve 7sin θ = 0 for 0 ≤ θ < 2π. Give radians.
8
Solve 7cos θ = 0 for 0 ≤ θ < 2π. Give radians.
9
Solve 6sin θ = 0 for 0 ≤ θ < 2π. Give radians.
10
Solve 3cos θ = 0 for 0 ≤ θ < 2π. Give radians.
11
Solve 5sin θ = 0 for 0 ≤ θ < 2π. Give radians.
12
Solve 8cos θ = 0 for 0 ≤ θ < 2π. Give radians.
13
Solve 8sin θ = 0 for 0 ≤ θ < 2π. Give radians.
14
Solve 4cos θ = 0 for 0 ≤ θ < 2π. Give radians.
15
Solve 3sin θ = 0 for 0 ≤ θ < 2π. Give radians.
16
Solve 6cos θ = 0 for 0 ≤ θ < 2π. Give radians.
17
Solve 2sin θ = 0 for 0 ≤ θ < 2π. Give radians.
18
Solve 7cos θ = 0 for 0 ≤ θ < 2π. Give radians.
19
Solve 8sin θ = 0 for 0 ≤ θ < 2π. Give radians.
20
Solve 8cos θ = 0 for 0 ≤ θ < 2π. Give radians.
21
Solve 7sin θ = 0 for 0 ≤ θ < 2π. Give radians.
22
Solve 3cos θ = 0 for 0 ≤ θ < 2π. Give radians.
23
Solve 5sin θ = 0 for 0 ≤ θ < 2π. Give radians.

Answer Key

1. 0, π2. π/2, 3π/23. 0, π4. π/2, 3π/25. 0, π6. π/2, 3π/27. 0, π8. π/2, 3π/29. 0, π10. π/2, 3π/211. 0, π12. π/2, 3π/213. 0, π14. π/2, 3π/215. 0, π16. π/2, 3π/217. 0, π18. π/2, 3π/219. 0, π20. π/2, 3π/221. 0, π22. π/2, 3π/223. 0, π

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Frequently Asked Questions

How do I download this solving trig equations - worksheet 9 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this trigonometry worksheet cover?

This worksheet focuses on trigonometry, equations, algebra. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 23 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.