3.4 sum & difference formulas

3.4 sum & difference formulas - Math 114 Section 3.4...

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Unformatted text preview: Math 114 Section 3.4 Sum & Difference Formulas Section 2 A. Sum and Difference Formulas cos( ) = cos cos sin sin sin ( ) = sin cos cos sin tan tan tan ( ) = 1 tan tan Find the exact value of the trigonometric function. 1. sin 12 2. cos 5 12 3. tan 7 12 4. sin 20 cos 80 - cos 20 sin 80 5. cos 5 7 5 7 cos - sin sin 12 12 12 12 6. Given, cos = 5 5 - 4 < < 0 and sin = < < , find sin ( - ) . 2 5 2 7. Given, tan = - 3 5 1 3 < < and sin = - < < , find tan ( + ) . 2 2 2 8. Given, tan = -2 3 < < and sec = 3 < < 2 , find cos( + ) . 2 2 B. Using Sum and Difference Formulas to Establish Identities 1. cos + = - sin 2 2. cos( - ) = - cos 3. cos( + ) + cos( - ) = 2 cos cos 4. sin ( + ) = tan + tan cos cos C. Using Sum and Difference Formulas Involving Inverse Trigonometric Functions -1 3 + cos -1 1 1. sin sin 2 -1 4 -1 3 2. sin sin - - tan 4 5 12 -1 4 + cos -1 3. cos tan 3 13 ...
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3.4 sum &amp; difference formulas - Math 114 Section 3.4...

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