# Trigonometry

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## Trigonometry Foundations

Revisit the foundational knowledge of linear measurement in algebra and angular measurement in geometry to apply to trigonometry. Learn a new, more natural angular measurement system: radians. Trigonometry frequently uses both measurements, so learn to convert fluidly between them in this theme. Discover the unit circle and how when combined with triangles they encompass trigonometry. Discover trigonometric functions ($\sin\theta, \cos\theta, \tan\theta$) and their reciprocal functions for use in analyzing angle measures.

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## Right Angle Trigonometry

Behold the basis of trigonometry. Revisit right triangle attributes and calculations, and apply sines and cosines with the unit circle. Apply angle measures, Pythagorean Theorem, and SOH CAH TOA.

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## Triangles

Apply trigonometric functions to non-right triangles using the Law of Sines and Law of Cosines to solve for missing side lengths or angles. Practice finding area of non-right triangles, occasionally using these laws.

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### Vectors

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Use your understanding of radians and trigonometric functions to evaluate the following expressions using a point and angle on the unit circle. From there, apply these concepts to evaluate arc length and angular speed.

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## Inverse Trigonometric Functions

Work backwards: you can find the sine and cosine values of different angles. Now use the inverse functions to find the angles given the sine and cosine values. Apply these for all the trigonometric functions and utilize them for simple physics applications involving rocketry.

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## Graphing Trignometric Functions

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