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Unformatted text preview: Math 17 TWHFW7 1 st Sem AY 201112 Exercise Set 4 Key September 21, 2011 I. 1. FALSE 5 π 4 is in QII, thus sin 5 π 4 > 0. 3 π 2 < 5 < 2 π → 5 is in QIV and sin5 < 0. 2. TRUE f parenleftbigg x P 2 parenrightbigg = f parenleftbigg P + x P 2 parenrightbigg = f parenleftbigg x + P 2 parenrightbigg 3. FALSE Consider α = π . 4. TRUE f ( x ) = sin( a · ( x ))+sin( b · ( x )) = (sin ax +sin bx ) = f ( x ) 5. TRUE The period of tan3 x is P = π  3  = π 3 . 2 π = 6 · P , thus tan3 x is 2 πperiodic. II. 1. cot 5 π 3 = √ 3 3 2. sin parenleftbigg 2 π 3 parenrightbigg + sec 5 π 6 = parenleftBigg √ 3 2 parenrightBigg + parenleftBigg 2 √ 3 3 parenrightBigg = 7 √ 3 6 3. cot 2 2 csc 2 2 = 1 4. sec 304 π 3 = sec parenleftBig 101 π + π 3 parenrightBig = 2 5. tan parenleftbigg 102 π 4 parenrightbigg = tan parenleftbigg 51 π 2 parenrightbigg → undefined 6. csc 7 π 12 = 1 sin( π 4 + π 3 ) = 1 sin π 4 cos π 3 + cos π 4 sin π 3 = 1 ( √ 2 2 )( 1 2 ) + (...
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This note was uploaded on 11/09/2011 for the course MATH 17 taught by Professor Aaronjamesporlante during the Summer '11 term at University of the Philippines Diliman.
 Summer '11
 AaronJamesPorlante
 Math, Algebra

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