TrigRev4 - identities like the triple angle identity 7 Be...

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Chapter 4 Trig Identities You will be given the identity sheet shown at the bottom of the sheet. The test will be a NO Calculator test. 1. Be able to write/recognize the basic 8 identities in section 4.1. 2. Be able to use the identities for sin(x + y), sin(x - y), cos(x + y),cos(x - y), sin(2x), cos(2x). 3. Use the identities for sin(x + y), sin(x - y), cos(x + y),cos(x - y) to simplify expressions like sin(x - π ). (see additional problem sheet from class) 4. Be able to verify identities using the identities above and algebra. Give reasons for the steps in your verification. 5. Be able to use the triangle definition to prove the basic 8. 6. Be able to use the sum identities to prove the double angle identities and derive other
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Unformatted text preview: identities like the triple angle identity. 7. Be able to decide if an equation is an identity or not and justify your decision. Problems Chapter 4 review pages 282 - 285 problems 3,5,6,7,8,9,11,12,17,23,26,29,30,33,37,39,49 (Also problems from the Additional Problem sheet) Identity Sheet Sum and Difference Identities sin( x + y ) = sin( x )cos( y ) + sin( y )cos( x ) sin( x ! y ) = sin( x )cos( y ) ! sin( y )cos( x ) cos( x + y ) = cos( x )cos( y ) ! sin( y )sin( x ) cos( x ! y ) = cos( x )cos( y ) + sin( y )sin( x ) Double Angle Identities sin(2 x ) = 2sin( x )cos( x ) cos(2 x ) = cos 2 ( x ) ! sin 2 ( x )...
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This note was uploaded on 10/18/2011 for the course MAC 1114 taught by Professor Russel during the Fall '08 term at Valencia.

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