Ex4Key - Math 17 TWHFW-7 1 st Sem AY 2011-12 Exercise Set 4...

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Unformatted text preview: Math 17 TWHFW-7 1 st Sem AY 2011-12 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 π-periodic. 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.

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Ex4Key - Math 17 TWHFW-7 1 st Sem AY 2011-12 Exercise Set 4...

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