VERIFYING TRIGONOMETRIC IDENTITIES Section 5 2 Precalculus Pre

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VERIFYING TRIGONOMETRIC IDENTITIES Section 5. 2 Precalculus Pre. AP/Dual, Revised © 2017 viet. dang@humbleisd.

VERIFYING TRIGONOMETRIC IDENTITIES Section 5. 2 Precalculus Pre. AP/Dual, Revised © 2017 viet. dang@humbleisd. net 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 1

STEPS A. Work at one side ONLY. Generally speaking, focus on the more complicated

STEPS A. Work at one side ONLY. Generally speaking, focus on the more complicated side first B. Identify any opportunities to factor an expression, such as adding fractions, squaring a binomial, etc… C. Apply whatever sine and cosine functions are applicable D. Simplify the equation by using all applicable theorems and identities E. CANCEL, CANCEL F. At its conclusion, left equals to the right G. Remember, there is MORE THAN ONE WAY to solve an equation 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 2

REVIEW NO! 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 3

REVIEW NO! 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 3

EXAMPLE 1 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 4

EXAMPLE 1 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 4

EXAMPLE 1 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 5

EXAMPLE 1 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 5

EXAMPLE 2 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 6

EXAMPLE 2 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 6

YOUR TURN 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 7

YOUR TURN 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 7

EXAMPLE 4 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 8

EXAMPLE 4 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 8

EXAMPLE 4 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 9

EXAMPLE 4 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 9

EXAMPLE 5 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 10

EXAMPLE 5 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 10

EXAMPLE 5 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 11

EXAMPLE 5 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 11

EXAMPLE 5 –ANOTHER WAY 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities

EXAMPLE 5 –ANOTHER WAY 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 12

EXAMPLE 5 –ANOTHER WAY 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities

EXAMPLE 5 –ANOTHER WAY 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 13

YOUR TURN 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 14

YOUR TURN 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 14

EXAMPLE 6 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 15

EXAMPLE 6 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 15

YOUR TURN 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 16

YOUR TURN 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 16

ASSIGNMENT Page 362 9 -39 odd, 43, 45 (omit 21) 9/7/2021 2: 49 AM

ASSIGNMENT Page 362 9 -39 odd, 43, 45 (omit 21) 9/7/2021 2: 49 AM § 5. 2: Verifying Trigonometric Identities 17