PRE-AP PRE- CALCULUS CHAPTER 5, SECTION 1 Fundamental Identities 2013 - 2014.

PRE-AP PRE-CALCULUSCHAPTER 5, SECTION 1Fundamental Identities

2013 - 2014

Basic Trig Identities• Reciprocal Identities:

Basic Trig Identities• Quotient Identities

Commit to Memory!!• Pythagorean Identities

Using Identities• Find and if and .

Complete the table Θ

Cofunction Identities• Use the given triangle to find the 6 trig identities

for angle A and B

x

yr

Cofunction Identities

Using More Identities• If , find .

Simplifying Trig Expressions• Sometimes it is necessary to simplify trig expressions and

equations much like algebraic equations. They are easier to evaluate (sometimes) when simplified.

• You can use the identities when needed.

Simplify

Simplify

𝑡𝑎𝑛2𝜃−𝑠𝑒𝑐2𝜃+1

Simplify• Simplify the expression

Solving a Trig Function• Find all values of x in the interval [0, 2π) that solve

Something to practice• Factor the following expressions

Ch. 5.1 Homework• Pg. 451 – 453, #’s: 1, 6, 9, 10, 12, 17, 24, 25, 28, 31, 33,

40, 51, 58, 70

• 15 total problems

• Gray book: pg. 410 - 411

PRE-AP PRE- CALCULUS CHAPTER 5, SECTION 1 Fundamental Identities 2013 - 2014.

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