Trigonometric Equations Worksheet
A Grade 10 Math worksheet covering solving trigonometric equations, including sine, cosine, and tangent functions.
Includes
Standards
Topics
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)?
0
1
2
4
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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