Category: Unit 5
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5.3 Sum and Difference Identities for Cosine
The sum and difference identities are identities that express sine, cosine, and tangent of the sum or difference of two angles in terms of the sine, cosine, and tangent of the individual angles. Let’s denote the two angles as alpha (α) and beta (β). Be sure to note that: Cofunction Identities Examples 1. Recall where…
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5.2 Verifying Trigonometric Identities
Verifying trigonometric identities is demonstrating that one side of an equation is equal to the other side of the equation. There are seven steps to this process. These are not necessarily black and white rules. These are the steps that were taught to me, and they are as follows. Examples 1. a) b) c) d)…
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5.1 Trigonometry Fundamental Identities
Trigonometric fundamental identities are really fun stuff. We can use them to rewrite equations and make them simpler for us to solve, and I will illustrate this further along in this post. Let’s get into the Pythagorean identities first. Pythagorean Identities Now that we have our three Pythagorean identities written out, let’s also make note…