Warm Up May 8th • Evaluate each of the following.1. tan(570°) 2. csc(11π/6)

3. cot(5π/2) 4. sec(-210°)

• Solve for θ if 0°<θ<360° and 0<θ<2π5. sinθ = √2/2 6. cosθ = -1/2

7. tanθ = -1

Homework Questions??

QUIZ TOMORROW!!• Converting between degrees & radians• Drawing angles and finding reference

angles• Finding coterminal angles• Find all trig ratios given a point• Given 1 trig ratio and info about another

(positive or negative), find all trig ratios• Use the unit circle to evaluate all trig

functions

SOLVING SIMPLE TRIG EQUATIONS &

IDENTITIES

CALCULATOR ACTIVEDetermine all of the solutions 0°< x < 360°1. sinx = 1/2

2. tanx = 1

3. cosx = 0.7

4. sinx = -5/2

Determine all of the solutions 0 < x < 2π

2cos x – 1 = 0

Determine all of the solutions 0 < x < 2π

xcos2xcos

Determine all of the solutions 0 < x < 2π

4sin2x = 1

Reciprocal Identities1

sin x csc x 1

cos xsec x

1

tan x

1

csc x

1

sec x

1

cot xcot x tan x

sin x cos x

Quotient Identities

tan xsin

cos

x

x

cot xcos

sin

x

x

Examples: Simplify Completely

cos

cot

x

x

tan

cot

x

x

(cos x)(csc x) =