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Proving Basic Trigonometric Identities with PowerPoint Examples

This PowerPoint presentation focuses on verifying and proving fundamental trigonometric identities. Explore various examples and learn how to manipulate and simplify equations effectively. The presentation covers identities like sec(x)(1 + cos(x)) = 1 + sec(x), sec(x) = tan(x)csc(x), and the relationship sin(4x) - cos(4x) = 1 - 2cos(2x). Discover methods for proving these identities step-by-step and understand how to check the left-hand side (LHS) and right-hand side (RHS) for equivalency. Enhance your grasp of trigonometry through engaging exercises and examples.

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Proving Basic Trigonometric Identities with PowerPoint Examples

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Presentation Transcript

  1. 7.1-7.2 Basic Trigonometric Identities In this powerpoint, we will use trig identities to verify and prove equations

  2. See what you get

  3. Etc.

  4. Proving an Identity Prove the following: a) sec x(1 + cos x) = 1 + sec x = sec x + sec x cos x = sec x + 1 1 + sec x L.S. = R.S. b) sec x = tan x csc x c) tan x sin x + cos x = sec x L.S. = R.S. L.S. = R.S. 5.4.8

  5. Proving an Identity d) sin4x - cos4x = 1 - 2cos2x 1 - 2cos2x = (sin2x - cos2x)(sin2x + cos2x) = (1 - cos2x - cos2x) = 1 - 2cos2x L.S. = R.S. e) L.S. = R.S. 5.4.9

  6. Proving an Identity f) L.S. = R.S. 5.4.10

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