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Section 5.1 handout ann_1

# Section 5.1 handout ann_1 - Section 5.1 Verifying...

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Section 5.1 Verifying Trigonometric Identities, Page 1 Section 5.1 Verifying Trigonometric Identities, Page 1

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Section 5.1 Verifying Trigonometric Identities, Page 2 Section 5.1 Verifying Trigonometric Identities, Page 2
Section 5.1 Verifying Trigonometric Identities, Page 3 Section 5.1: Verifying Trigonometric Identities 1) Objective 1: Use Fundamental Trigonometric Identities to Verify Identities . a. The Fundamental Identities  (these are not new). 1. Reciprocal Identities : sin x = 1 / csc x cos x = 1 / sec x tan x = 1 / cot x csc x = 1/sin x sec x = 1/cos x cot x = 1/tan x 2. Quotient Identities : tan x = sin x / cos x cot x = cos x / sin x 3. Pythagorean Identities : sin 2 x + cos 2 x = 1 1 + tan 2 x = sec 2 x 1 + cot 2 x = csc 2 x 4. Even – Odd Identities : sin(- x ) = - sin x cos( - x ) = cos x tan( - x ) = - tan x csc(- x ) = - csc x sec( - x ) = sec x cot( - x ) = - cot x b. What does it mean to verify an identity?   You need to show that both sides of the equation are the same. c. How do you verify an identity?

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Section 5.1 handout ann_1 - Section 5.1 Verifying...

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