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These are your basic building blocks for solving trigonometric equations and understanding how the pieces fit together. Using these identities can make sense of even the scariest looking trig.

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Ratio of Trigonometric Functions
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Which of the following is equal to

\[ \cot ( 90 ^ \circ - \theta) ? \]

\( \tan \theta\) \( \cot \theta\) \( \tan ( 90 ^ \circ - \theta) \) \( \tan^2 \theta\)

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Given that \( \tan N ^ \circ = \frac { 1} { \tan 30 ^\circ} \), where \( 0 \leq N < 180 \), what is the value of \(N\)?

75 60 30 45

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Which of the following is the same as \(\sin (-769^{\circ})?\)

\(-\cos {38}^{\circ}\) \(-\cos {47}^{\circ}\) \(-\cos {41}^{\circ}\) \(-\cos {44}^{\circ}\)

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In the above graph, \(a=(7, 0)\) and \(b=(0, -12).\) What is the value of \[\cos(-\theta)+\sin(180^{\circ} - \theta)?\]

\[-\frac{5}{\sqrt{193}}\] \[-\frac{8}{\sqrt{193}}\] \[-\frac{6}{\sqrt{193}}\] \[-\frac{7}{\sqrt{193}}\]

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Which of the following is equal to

\[ \cos \left( \frac{\pi}{2} -2 \theta \right)? \]

\( 2 \cos^ 2\theta - 1\) \( \sin 2\theta\) \( \tan 2\theta\) \( 2 \sin^2 \theta\)

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by Brilliant Staff

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Excel in math and science

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It's hard to learn from lectures and videos

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Our wiki is made for math and science

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

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100 Day Summer Challenge

Fundamental Trigonometric Identities

Excel in math and science

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Trigonometric Co-Function Identities

Excel in math and science

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Excel in math and science

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Our wiki is made for math and science

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Excel in math and science

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It's hard to learn from lectures and videos

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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

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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

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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.

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.