Math_41Final_Exam_Review

# Math_41Final_Exam_Review - Math 41 Final Exam Review 5.1...

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Math 41 Final Exam Review 5.1 Using Fundamental Identities & 5.2 Verifying Trig Identities- You need to know the fundamental trig identities: u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u u cot ) cot( sec ) sec( csc ) csc( tan ) tan( cos ) cos( sin ) sin( Identities Even/Odd sec 2 csc csc 2 sec tan 2 cot cot 2 tan sin 2 cos cos 2 sin Identities Cofunction csc cot 1 sec tan 1 1 cos sin Identities n Pythagorea sin cos cot cos sin tan Identities Quotient tan 1 cot cos 1 sec sin 1 csc cot 1 tan sec 1 cos csc 1 sin Identities Reciprocal 2 2 2 2 2 2 - = - = - - = - - = - = - - = - = - = - = - = - = - = - = + = + = + = = = = = = = = π You need to be able to use these trig identities to find the values of all 6 trig functions given one or two of them. You need to be able to simplify a trig expression using these identities. In these sections, you need to be able to verify a trig identity. If the question asks you to verify, prove, or show , that means that you pick one side and work with it until you get the other side. You are not allowed to work with both sides as if it were an equation!!!! No cross-multiplying both sides, no adding or subtracting expressions from both sides, and no dividing both sides by trig functions!!! Usually, if you are asked to prove an identity that contains fractions, get a common denominator and then expand the numerator. You usually will be able to make a trig substitution in the numerator. If all else fails, try converting everything to sines and cosines. Sometimes, if you only have one fraction that contains single powers of sine and/or cosine, you can multiply both top

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## This note was uploaded on 03/18/2008 for the course MATH 041 taught by Professor Brunsden,victorw during the Fall '07 term at Penn State.

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Math_41Final_Exam_Review - Math 41 Final Exam Review 5.1...

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