Trigonometric Equations Worksheet

A Grade 10 Math worksheet covering solving trigonometric equations, including sine, cosine, and tangent functions.

Grade 10 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.A.2CCSS.MATH.CONTENT.HSF.TF.C.8

Topics

trigonometryequationssinecosinetangentmathgrade 10

7 sections · Free to use · Printable

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Trigonometric Equations

Name:

Date:

Score:

Read each question carefully and solve for the unknown variable(s). Show all your work.

1. Solve for x: 2 sin(x) - 1 = 0 for 0 ≤ x < 2π

2. Solve for x: cos(x) + √3/2 = 0 for 0 ≤ x < 2π

3. The general solution for sin(x) = 1/2 is x = + 2nπ or x = + 2nπ, where n is an integer.

4. If tan(x) = -1, then in the interval [0, 2π), the values of x are and .

5. Which of the following is a solution to the equation tan(x) = √3 in the interval [0, 2π)?

π/6

π/3

2π/3

5π/6

6. How many solutions does the equation sin(x) = -1/2 have in the interval [0, 2π)?

7. Consider the equation sin(x) = 0.5. Plot the function y = sin(x) and the line y = 0.5 on the coordinate plane below for x between 0 and 2π. Mark the points of intersection.

What are the approximate solutions for x?

8. The equation cos(x) = 2 has no real solutions.

True

False

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