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Unit 4: Trigonometry
Minds On
Determine the EXACT value of:
a) Tan 150 b) Csc 225
Unit 4: Trigonometry
Minds OnPoint (3, -3) is on the terminal arm of an angle:a) Determine the primary trig ratios and reciprocal trig ratiosb) Determine the Related Acute Angle (c) Determine the Principal Angle (d) Determine another angle between 0 and 360 that has the same trig ratios for Tan.
Unit 4: Trigonometry
Learning Goal:
I can prove simple trigonometric equations using trig identities.
Lesson 5 – Trigonometric Identities
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
Prove that sin2 + cos2 = 1
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
Prove that tan
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
Identity - an equation that is always true, regardless of the value of the
variable. Trig Identities - equations that are always true,
regardless of the value of θ.
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
Bad News….
There are 8 trigonometric identities that you need to know
Good News….
You already know 6!
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
sin2 + cos2 = 1
tan
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
A common math problem is a proof. This is where you will be asked to prove that a given equation is true. You do this by performing a left side - right side check.
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
Prove = Cos
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
Prove + Tan =
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
Prove (tan θ) (sin θ) + cos θ = sec θ
Unit 4: Trigonometry
Lesson 5 – Trigonometric Identities
Homework
Pg. 310 #1, 3, 5, 6, 8, 12 Quiz Tomorrow
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