Pre-Calculus 12 Notes

By: Gen L.

In partnership with Hyperion University, 2024

Lesson 5: Simple Trig Equations

Solving Equations

  • This is a review of Math 11.
  • However, we're doing this in radians.
  • Let's dive in!

How to Solve

If you're familiar with how to solve from Math 11, it's the same, but in radians.

  1. Determine the Quadrant
  2. Take the inverse of the positive ratio to get
  3. Determine the angles.

Example: Simple Ratios

Solve

Reciprocal Ratios

Solve

Simple Equations

Solve

  1. ,

Exact Angles

Solve for the exact angle:

Reciprocal Exact Angles

Solve

Special Coordinates

Solve and ,

  1. Remember the coordinate basis?
  2. and are our points.
  3. What are those points' angles? (angles start at x-axis)
  4. We get

Seperated by question:
: , :

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