warm up may 8 th evaluate each of the following. 1.tan(570°)2. csc(11π/6) 3.cot(5π/2)4....
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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
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Homework Questions??
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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
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SOLVING SIMPLE TRIG EQUATIONS &
IDENTITIES
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CALCULATOR ACTIVEDetermine all of the solutions 0°< x < 360°1. sinx = 1/2
2. tanx = 1
3. cosx = 0.7
4. sinx = -5/2
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Determine all of the solutions 0 < x < 2π
2cos x – 1 = 0
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Determine all of the solutions 0 < x < 2π
xcos2xcos
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Determine all of the solutions 0 < x < 2π
4sin2x = 1
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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
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Quotient Identities
tan xsin
cos
x
x
cot xcos
sin
x
x
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Examples: Simplify Completely
cos
cot
x
x
tan
cot
x
x
(cos x)(csc x) =