Chapter 5 Analytic Trigonometry

There are some trig identity you need to know

Shown in class

Prove of the identities

Find using identity

Example

Answer

You should be able to see they are similar.

Look at the trig graphs

Odd-Even Identities

sin3𝑥+¿ sin 𝑥cos2𝑥 ¿Simplify

1+ tan2𝑥csc 2𝑥

Simplify

¿Simplify

sec (−𝑥)cos (−𝑥 )=¿¿Simplify

cos 𝑥1− sin𝑥 −

sin 𝑥cos 𝑥

Simplify

tan 𝑥csc2𝑥

+tan 𝑥sec2𝑥

Simplify

Solving

2sin2 𝑥+sin𝑥=1Solving

Pg 451 # 2,7,10,12,18,24,32,37,39,47,53,55

Homework practice