Honors Pre-Calculus Unit 5: 5.1-Day 4 Name:________________________________
Fundamental Identities
RECIPROCAL IDENTITIES:
QUOTIENT IDENTITIES:
PYTHAGOREAN IDENTITIES:
CO-FUNCTION IDENTITIES:
ODD-EVEN IDENTITIES:
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Honors Pre-Calculus Unit 5: Trigonometric Identities and Expressions, Lecture notes of Pre-Calculus
Various trigonometric identities including reciprocal, quotient, pythagorean, co-function, and odd-even identities. It also includes examples of using these identities and simplifying trigonometric expressions. Students will learn how to find the values of different trigonometric functions given certain identities.
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2021/2022
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Honors Pre-Calculus Unit 5: 5.1-Day 4 Name:________________________________ Fundamental Identities
RECIPROCAL IDENTITIES:
QUOTIENT IDENTITIES:
PYTHAGOREAN IDENTITIES:
CO-FUNCTION IDENTITIES:
ODD-EVEN IDENTITIES:
Examples of using Identities:
- If cos θ = 0.34, find sin (θ – π/2) 2. If sin θ = 0.45, find cos (π/2 – θ)
- If tan (π/2 – θ) = - 5.32, find cot θ 4. If sin (θ – π/2) = 0.73, find cos (-θ) Simplifying Trigonometric Expressions:
- sin&' + sin'cos+' 2. cos ' − cos&'
- ./01^23 45423 4. sin ' cos ' tan ' sec ' csc '
- (5:4 3 .-)(5:4 3 <-) 5=1^23 6. (sec+' + csc+') − (tan+' + cot+')
- /01(> 2 < 3 ) 454 3 45423 8. (sin ')(tan ' + cot ')