26e2sp07

# 26e2sp07 - MATH 26 EXAM II FORM A SPRING 2007 1 If tan A...

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Unformatted text preview: MATH 26 EXAM II, FORM A SPRING 2007 1. If tan A : x/E, ﬁnd tan 2A, 5. Identify the amplitude and phase shift for the equation y = 3cos(2m+ 71'). 72% 7'- a) Amplitude : 1; Phase shift 2 —— «3 2 b) w 4 b) Amplitude = 1; Phase shift = g ) ﬁ 77 C 2 c} Amplitude = 3; Phase shift = —5 d) _ V5 d) Ampmude = 1; Phase shift = 7r 2 e) 2J5 e) Amplitude =15: Phase shift = g 2. Rewrite the expression ms 53? w cos 3:5 as a product. 6, Evalute cot. (tan—1 . a) —2 sin 33731111 .1) 2 . I - 1 b) 2 5111 4:; sm 3 b) E r) —2 sin 6a" sin :11 t ) “44 d) —2 sin 3x cos x d) 4 e) —2 sin 4x sin a: e) —2 . a , , ‘- - —1 '1 ‘5- E‘Vdiu'ne 3"“ 25‘“ To ' 7. Solve the equation 'I + sinm - 20032 u.- = 0 for x if 0 g m «4 2w. 2 2 4 a) i 0 _ j m a) . 3 . 3 2 ’1? b) E b) 2. 7r. a? 3 1r 7r 571' C _ . i 7 7 ) 5 L) 6’ 2’ 6 d I d) —: d) 1513‘: 0 6 6 2 C) —E ) 7r 77: 1111' - C ,1 ﬁ‘ _ o 2 6 6 ' - 2 . . 2 . r 4' S‘mphfy COS mud“ "13+ U' 8. If sinA : 7% with A in quadrant IV. and sinB = g with B in quadrant II, ﬁnd sin(A — B). a) (‘ULzm b) 1 a) _l 23 C) tan 1: 1 ) 7 ) i d) 2 25 2 6 cos .1: C __ } ) 25 9 d ﬂ ) 25 9 e) MATH 26 EXAM II, FORM A SPRING 2007 9- Solve the equation 851i" 15 + 1 1 65int for t if 0 S t < 211. 13. Use half-angle formulas to ﬁnd the exact value for tan 15°. 11' 511' 1 a) d 1 4 a) n, b) 71‘ 11—” lJﬂ/g 6 6 b) 2 5 711 C) W‘ B— c) 3 2 411 571' 1 —. — . c ) 3 1 d) 2 ﬂ ) 371 5w 9) 2 + 16 c 7‘ ﬂ 11 4 14. Find the eriud 0F the function 2 Sin 7112. 10. Solve ('01: 1! = 0. p y 11' _ _ a) 471 a.) — + 21671“ where k 15 an integer. 3 b) l b) 2k7r where. k is an integer. 1') 271' 1r 0 —— 2hr wher‘ k is an inte er. ) 3 + I g d) 11' d) E + 2hr where k is an integer. e) 2 ) n + k here I:- is an int? 1 o — 1r w ', (r. 2 g 15. Solve the equation 21:058 — sin 28 = 0 for 0 if 0° 3 6 < 360°. 11. Solve Quasi" :r + cosac w 1 = O for :1: if 0 g a". <: 211'. a) 30013300 71 511' 1)) 90°, 270° 3) 0- .—~ .— d» d c) 600,300D 71' 571' b 7r,—,— d 00.900 ) 6 6 ) r 6) 90° r) 0. 3. ﬂ 6 6 27r 471’ 1 d) U' *1 7 16. Evaluate sinil —— . 3 3 2 11' 571' e ‘ _‘ _ 1r ) W 3 3 a) 7a _ 7r 12. Write. the expression sin 73: cos x —c.05 7:1: sin a? as a single trlgonomet- b) ric function. 0) 0 a) sin (in d) E b' b) sin ﬂ. 9) —2— C) sin 43 d) Sin 1035 0) sin 52,- MATH 26 EXAM 11, FORM A SPRING 2007 17. If cscA r v 10 with A in quadrant II ﬁnd sec 2A. a) —% b) 152 c) g d) 4; 0) —§ 18. Find the identicai expression for sin u a) tan .1: b) sin as c‘) — sin I d) — cos :1? 3) cos 1'. cos a: 19. Simplify —%— — I. + 5111 3: C089: a) sec \$ b) D c) 2 .r d) 2 e) 2 use 20. The graph below is one complete cycle of the graph of an equation containing a. trigonometric function. Find an equation to match the graph. a) y = 3 k (:05 171* b) y = +13 (:05 -7r.r C) y = 5 - cos 7TH: d) y = 3 — 2005 me e.) y:5—2c057rx SPRING O7 ITEM NO. toooqmmprI—I MATH FORM: 5 V w m 0 W m m U V m H w W U‘jr)w O m U 026 EX2 ...
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## This note was uploaded on 04/02/2008 for the course MATH 026 taught by Professor Desesa,blaisephi during the Spring '08 term at Penn State.

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26e2sp07 - MATH 26 EXAM II FORM A SPRING 2007 1 If tan A...

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