Monday, October 24, 2011

Sum and Difference Identities Part One

HI!!! Today in precal we studied about sum and difference identities part one.
lets go to the first example

ex. sin 7pie/12 first step that you need to do is to set an equation that will equal to 7pie/12
the equation that you need to have is either addition or subtraction. note that there is many possible equation for the example given.

sin 7pie/12=sin(4pie/12+3pie/12) *SIMPLIFY*
=sin (pie/3+pie/4) *LABEL as ALPHA and BETA*
alpha beta
at this point you have to have your formula sheet with you. The formula for this equation would be sin(A+B)= sinAcosB + cosAsinB meaning you should have sin pie/3 x cos pie/4+cos pie/3 x sin pie/4 what you have to do next is to find the exact values of these trigonometric values which means you need to use the special triangles and the cast rule. therefore you should have...





your final answer should be as stated in the image above. don't do anything to your final answer leave it as it is.

at some point you will be given csc 19pie/12. the trick to this is to solve it as sin 19pie/12 and just get the reciprocal of your final answer.

K BYE!!! ahaha...

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