Pre-Calculus 12 Notes

By: Gen L.

In partnership with Hyperion University, 2024

Lesson 1: Definitions

Solutions

If you were asked to solve , you would use the general solution.

For , you'd get

Identities

How about ?

You would get .
This is called an Identity. And already, you know some of them.

The Basic Identites (Quotient / Reciprocal)

Simplification

Simplify the following:

Here's some tips:

  • Convert to and
  • Reduce from there.

Simplification, cont.

Simplification, cont.

    • Wait. How? You'll see.

Factoring

Factor the Following:

Reduction

Write as a single term:

Reduction, cont.

Determining Values

Given that an angle terminates in , determine the value of .

Determining Restrictions

Determine the restrictions for the following:

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