Unit 1: Conversion Factors & Angle Rotation Practice

We are reinforcing:

conversion factors
unit relationships
radians/degrees
dimensional analysis thinking

This is helpful in supporting unit logic before we get to the core trigonometry.

Quick Reminder

Degree ↔ Radian Conversion

$180^\circ = \pi \text{ radians}$

$\pi \text{ radians} = 180^\circ$

Conversion Factors

Multiply by a fraction equal to 1 (multiply by a form of 1)
Units should cancel

Example:

$90^\circ \times \frac{\pi}{180^\circ} = \frac{\pi}{2}$

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Practice A — Degrees & Radians

Watch this video for help: https://youtu.be/JmLN3QxshlE?si=vGM0G-BiKzmnxr6H&t=278

*watch starting at 4:38 until 10:36

Convert $120^\circ$ to radians
Convert $315^\circ$ to radians
Convert $45^\circ$ to radians
Convert $\frac{\pi}{6}$ to degrees
Convert $\frac{5\pi}{4}$ to degrees
Convert $\frac{7\pi}{3}$ to degrees

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Practice B — General Conversion Factors