trigonometric identities

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powerpoint presentation remember an identity is an equation that is true for all defined values of a variable. we are going to use the identities that we have already established to "prove" or establish other identities. let's summarize the basic identities we have. reciprocal identities   sin 1 cosec    cos 1 sec    tan 1 cot  quotient identities    cos sin tan     sin cos cot   22 sec 1tan   22 cosec cot1  pythagorean identities 1 cossin 22   even-odd identities               cotcotsecseccoseccosec tantancoscossinsin    22 sincoscosecsin establish the following identity: in establishing an identity you should not move things from one side of the equal sign to the other. instead substitute using identities you know and simplifying …

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•get common denominators •if you have squared functions look for pythagorean identities •work on the more complex side first •if you have a denominator of 1 + trig function try multiplying top & bottom by conjugate and use pythagorean identity •when all else fails write everything in terms of sines and cosines using reciprocal and quotient identities •have fun with these---it's like a puzzle, can you use identities and algebra to get them to match! hints for establishing identities mathxtc  acknowledgement i wish to thank shawna haider from salt lake community college, utah usa for her hard work in creating this powerpoint. www.slcc.edu shawna has kindly given permission for this resource to be downloaded from www.mathxtc.com and for it to be modified to suit the western australian mathematics curriculum. stephen corcoran head of mathematics st stephen’s school – carramar www.ststephens.wa.edu.au http://www.slcc.edu/ http://www.mathxtc.com/ http://www.ststephens.wa.edu.au/ slide 1 slide 2 slide 3 …

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powerpoint presentation remember an identity is an equation that is true for all defined values of a variable. we are going to use the identities that we have already established to "prove" or establish other identities. let's summarize the basic identities we have. reciprocal identities   sin 1 cosec    cos 1 sec    tan 1 cot  quotient identities    cos sin tan     sin cos cot   22 sec 1tan   22 cosec cot1  pythagorean identities 1 cossin 22   even-odd identities               cotcotsecseccoseccosec tantancoscossinsin    22 sincoscosecsin establish …

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