Solving Trigonometric Equations

This worksheet focuses on solving trigonometric equations, including those with multiple angles and within specific intervals, suitable for Grade 11 mathematics.

Grade 11 Math TrigonometryTrigonometric Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.A.1CCSS.MATH.CONTENT.HSF.TF.C.7

Topics

TrigonometryEquationsGrade 11Math

7 sections · Free to use · Printable

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Solving Trigonometric Equations

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Read each question carefully and solve for the unknown variable. Show all your work for full credit. Remember to find all solutions within the specified interval, unless otherwise stated.

1. Find all solutions for the equation 2sin(x) - 1 = 0 in the interval [0, 2π).

2. Solve the equation √3tan(θ) + 1 = 0 for all real values of θ.

3. The solutions for cos(2x) = 1/2 in the interval [0, 2π) are , , , and .

4. If sin(3θ) = -√3/2, then the general solutions for θ are .

5. Which of the following is a solution to 2cos²(x) + cos(x) - 1 = 0 in the interval [0, 2π)?

π/6

π/3

2π/3

5π/6

6. The equation sin(x) = 2 has no real solutions.

True

False

7. The general solution for tan(x) = 1 is x = π/4 + nπ, where n is an integer.

True

False

8. Solve sin(x) = cos(x) for x in the interval [0, 2π).

9. Find all solutions for 2sin²(x) - 3sin(x) + 1 = 0 in the interval [0, 2π).