Trigonometric Equations Worksheet
Practice solving trigonometric equations for Grade 9 students, including basic identities and finding solutions within a given interval.
Includes
2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False
Standards
CCSS.MATH.CONTENT.HSF.TF.A.3CCSS.MATH.CONTENT.HSF.TF.C.8
7 sections · Free to use · Printable
Trigonometric Equations
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Solve each trigonometric equation. Show all your work. Unless otherwise specified, find all solutions in the interval [0, 2π).
1. Solve for θ: 2 sin(θ) - 1 = 0
2. Solve for θ: tan(θ) + √3 = 0
3. Which of the following is equivalent to sin²(θ) + cos²(θ)?
a
0
b
1
c
sec(θ)
d
csc(θ)
4. The general solution for sin(θ) = 0 is θ = where n is an integer.
5. If cos(θ) = -1, then the principal value of θ in the interval [0, 2π) is .
6. The equation sin(x) = 2 has no real solutions.
T
True
F
False
7. Solve for θ: 2 cos²(θ) - 3 cos(θ) + 1 = 0
8. Solve for θ: sin(2θ) = 1/2