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Trig Identities (Part 3)
The art of mastering all of the trigonometric identities is to be able to derive them by relying on the five identities [1]–[5] memorized in Part 1. You are expected to be able to derive each of the identities below, as you studied in trigonometry.
The art of mastering all of the trigonometric identities is to be able to derive them by relying on the five identities [1]–[5] memorized in Part 1. You are expected to be able to derive each of the identities below, as you studied in trigonometry.
| Product-to-Sum | How to Derive |
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([1] + [3])/2 |
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([1] – [3])/2 |
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([4] + [2])/2 |
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([4] – [2])/2 |
| Sum-to-Product | How to Derive |
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Let A = u + v, B = u – v in [17]. |
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Let A = u + v, B = u – v in [18]. |
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Let A = u + v, B = u – v in [19]. |
 |
Let A = u + v, B = u – v in [20]. |
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Disclaimer • Updated September 4, 2008
Email: mitsuma@kutztown.edu
Phone: +1 (610) 462-WPJW
Phone: +1 (610) 462-WPJW