Section 5.2 handout ann_1

Section 5.2 handout ann_1 - Section 5.2 Section 5.2: Sum...

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Sum and Difference Formulas, Page 1 Section 5.2: Sum and Difference Formulas 1) Objective 1: Use the Formula for the Cosine of the Difference of Two Angles . cos ( α β ) = cos α cos β + sin α sin β a. Example 1 :   See Example 1, page 557 2 nd  ed or page 582 3 rd  ed.  Find the exact value of cos   15 ° . Step 1 : Find two angles whose difference is equal to the given angle and whose exact trig values are known.  Our  only choices are  π (180 ° ),  π /2 (90 ° ),  π /4 (45 ° ),      π /3 (60 ° ),   π /6 (30 ° ), or multiples thereof. Step 2 : Use the cosine difference formula. Step 3 : Simplify. b. See Example 2 page 557 2 nd  ed or page 582 3 rd  ed. Find the exact value of cos 80 ° cos 20 °  + sin 80 ° sin 20 ° Step 1 . Notice that 80 °  and 20 °  occur in both terms and that you have cos cos + sin sin.  This is the result of what  formula? Step 2
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This note was uploaded on 04/07/2008 for the course MTH MTH162 taught by Professor Bundick during the Spring '08 term at VCCS.

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Section 5.2 handout ann_1 - Section 5.2 Section 5.2: Sum...

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