Trigonometry
Explore angles and the unit circle; identities and equations; triangles and oscillations. Concepts and connections are available independently of video coverage.
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Trigonometric periodicity
Sine and cosine repeat after a full turn; tangent repeats after a half turn on its domain.
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Complex exponentials
Euler's formula links complex exponentials to cosine and sine for real angles.
Law of sines
In a triangle, each side divided by its opposite-angle sine has the same value.
Angle addition formulas
Addition formulas express trigonometric functions of summed angles using individual angles.
Inverse trigonometric functions
Restricted domains make trigonometric functions invertible with specified principal-value ranges.
Law of cosines
The cosine law relates one side to the other two sides and their included angle.
Knowledge connections
- Complex exponentials · Related · Map context
- Law of sines · Related · Map context