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## Trigonometry

Trigonometry is useful in determining linear lengths / oscillation with respect to digital art.

Artists traditionally use angles to measure rotations:

an angle θ |
right angle The complementary angles a and b (b is the complement of a, and a is the complement of b) Acute (a), obtuse (b), and straight (c) angles. Here, a and b are supplementary angles |

Given a triangle, trigonometry can be used to determine angles and side lengths if some information is known:

reference triangle with marked angles, sides and terms |
sine function cosine function tangent function these can be memorized using the mnemonic soh-cah-toa |

We can make use of radians and advanced trig functions as well:

graphical representation of a radian formula to convert radians to degrees. radians should be converted to degrees once calculations are done because degrees are more familiar to us |
radian plot in common degree increments |

introduction of secant, cosecant, and cotangent |

Given these formulas we can solve for the variables:

calculation of a tangent angle using the formula and converting from radians |

Oscillation can be represented with sine and cosine curves once plotted:

sine and cosine curve |