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Geometry

Trigonometric Equations

Excel in math and science

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It's hard to learn from lectures and videos

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Concept Quizzes

Specific Solution
General Solution
Solve by Factoring
Using Double Angle Formula
Using Triple Angle Formula
R method
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General Solution of Simple Trigonometric Equations

Which of the following is the general solution of \(2\sqrt{3}=4\sin x?\)

\[x=2n\pi+\frac{\pi}{3}\] or \[x=2n\pi+\frac{2}{3}\pi\] \[x=2n\pi\pm\frac{\pi}{3}\] \[x=2n\pi+\frac{\pi}{6}\] or \[x=2n\pi+\frac{5}{6}\pi\] \[x=2n\pi\pm\frac{\pi}{6}\]

Excel in math and science

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by Brilliant Staff

Which of the following is the general solution for the equation \(\frac{\sqrt{3}}{3}=\tan4x?\)

\[{4}n\pi +\frac{\pi}{3}\] \[{4}n\pi +\frac{\pi}{6}\] \[\frac{n}{4}\pi +\frac{\pi}{12}\] \[\frac{n}{4}\pi +\frac{\pi}{24}\]

Excel in math and science

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Learn more effectively through short, conceptual quizzes.

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by Brilliant Staff

Which of the following is the general solution for the equation \(\sqrt{3}=2\sin(12x+\frac{3}{11}\pi)?\)

\[x=2n\pi+\frac{1}{3}\pi\] or \[x=2n\pi+\frac{2}{3}\pi\] \[x=2n\pi+\frac{2}{33}\pi\] or \[x=2n\pi+\frac{13}{33}\pi\] \[x=\frac{n}{6}\pi+\frac{1}{198}\pi\] or \[x=\frac{n}{6}\pi+\frac{13}{396}\pi\] \[x=\frac{n}{6}\pi+\frac{1}{3}\pi\] or \[x=\frac{n}{6}\pi+\frac{1}{2}\pi\]

Excel in math and science

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Our wiki is made for math and science

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by Brilliant Staff

What is the general solution for the equation \[8\cos150^\circ=4\tan\left(7x+\frac{3}{7}\pi\right)?\]

\[x=\left(\frac{2n}{7}\pm\frac{5}{49}\right)\pi\] \[x=\left(\frac{n}{7}+\frac{5}{147}\right)\pi\] \[x=\left(\frac{n}{7}+\frac{5}{49}\right)\pi\] \[x=\left(\frac{2n}{7}\pm\frac{5}{147}\right)\pi\]

Excel in math and science

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by Brilliant Staff

Which of the following is a general solution of the equation \(\tan \left(x+\frac{37}{3}\pi \right) = 1 ?\)

\[n\pi+\frac{3\pi}{4}\] \[n\pi-\frac{3\pi}{4}\] \[n\pi-\frac{\pi}{12}\] \[n\pi+\frac{\pi}{12}\]

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

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by Brilliant Staff

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Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Trigonometric Equations

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Concept Quizzes

Challenge Quizzes

General Solution of Simple Trigonometric Equations

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.