Solving Equations with Inverse Cosine

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| Questions: 20 | Updated: Nov 26, 2025
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1) Solve for θ in [0, 2π]: cos(θ) = −√2/2
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About This Quiz
Solving Equations With Inverse Cosine - Quiz

Now it’s time to put inverse cosine to work in equation solving. Here, you’ll solve trigonometric equations step by step, finding all solutions for θθθ within the interval [0,2π][0, 2π][0,2π]. This quiz will test your ability to handle reflections, phase shifts, and multiple solutions while keeping everything locked within the... see moreproper domain.
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2) Solve for θ in [0, 2π]: cos(θ) = 1/2
Submit
3) Solve for θ in [0, 2π]: cos(θ) = √3/2
Submit
4) Solve for θ in [0, 2π]: cos(θ) = −1/2
Submit
5) Solve for θ in [0, 2π]: cos(θ) = 0
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6) Solve for θ in [0, 2π]: cos(θ) = −√3/2
Submit
7) Solve for θ in [0, 2π]: cos(2θ) = 1/2
Submit
8) Solve for θ in [0, 2π]: cos(θ − π/3) = 0
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9) Solve for θ in [0, 2π]: cos(θ + π/6) = −1/2
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10) Solve for θ in [0, 2π]: cos(2θ) = −√2/2
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11) Solve for θ in [0, 2π]: cos(θ) = −1
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12) Solve for θ in [0, 2π]: cos(3θ) = 1
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13) Solve for θ in [0, 2π]: cos(θ) = (√6 + √2)/4
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14) Solve for θ in [0, 2π]: cos(θ) = (√6 − √2)/4
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15) Solve for θ in [0, 2π]: cos(θ) = −(√6 − √2)/4
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16) Solve for θ in [0, 2π]: cos(θ) = −(√6 + √2)/4
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17) Solve for θ in [0, 2π]: cos(θ + π/4) = √2/2
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18) Solve for θ in [0, 2π]: cos(θ − π/2) = 0
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19) Solve for θ in [0, 2π]: cos(2θ − π/3) = −1
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20) Solve for θ in [0, 2π]: cos(θ) = √2/2
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Solve for θ in [0, 2π]: cos(θ) = −√2/2
Solve for θ in [0, 2π]: cos(θ) = 1/2
Solve for θ in [0, 2π]: cos(θ) = √3/2
Solve for θ in [0, 2π]: cos(θ) = −1/2
Solve for θ in [0, 2π]: cos(θ) = 0
Solve for θ in [0, 2π]: cos(θ) = −√3/2
Solve for θ in [0, 2π]: cos(2θ) = 1/2
Solve for θ in [0, 2π]: cos(θ − π/3) = 0
Solve for θ in [0, 2π]: cos(θ + π/6) = −1/2
Solve for θ in [0, 2π]: cos(2θ) = −√2/2
Solve for θ in [0, 2π]: cos(θ) = −1
Solve for θ in [0, 2π]: cos(3θ) = 1
Solve for θ in [0, 2π]: cos(θ) = (√6 +...
Solve for θ in [0, 2π]: cos(θ) = (√6 −...
Solve for θ in [0, 2π]: cos(θ) = −(√6 − √2)/4
Solve for θ in [0, 2π]: cos(θ) = −(√6 + √2)/4
Solve for θ in [0, 2π]: cos(θ + π/4) = √2/2
Solve for θ in [0, 2π]: cos(θ − π/2) = 0
Solve for θ in [0, 2π]: cos(2θ − π/3) = −1
Solve for θ in [0, 2π]: cos(θ) = √2/2
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