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Excel in math and science
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Trigonometric Equations
Equations with trigonometry in them can look scary, but that's nothing that a quick little substitution can't fix.
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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Concept Quizzes
In the domain \( [0^\circ , 1000^\circ ] \), how many solutions are there to \( \sin \theta \cos \theta = \frac {1} {2} \)?
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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including olympiad champions, researchers, and professionals.
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by Brilliant Staff
In the interval \( [0, 2 \pi ] \), how many solutions are there to
\[ \sin \theta = 2 \sin 2 \theta ? \]
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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How many \(x\)'s in the interval \(0 \leq x \leq 29\pi\) satisfy \[\sin \left(2x-\frac{\pi}{5}\right)=\sin \frac{\pi}{8}?\]
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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How many \(x\)'s in the interval \(0 \leq x \leq 60\pi\) satisfy \[6\cos 2x+23\sin x-4=0?\]
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.
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That seems reasonable.
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by Brilliant Staff
In the interval \( [0, 2 \pi ] \), how many solutions are there to
\[ \cos^2 \theta = \cos 2 \theta ? \]
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.
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That seems reasonable.
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by Brilliant Staff