WS 1 - Precalculus 11 : Handwritten Homework Worksheet : 1...

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Unformatted text preview: Precalculus 11 : Handwritten Homework Worksheet : 1 Chapter 6 Name Math —127 Date: Section: Your work must be in a readble format and be in logical order. You may recieve no credit, if your handwriting is not clear to understand. Homework with answers only will not receive any credit. To receive full credit, you must show your work and arrive at the correct answer. Total : 15 Points Draw the angle. 1) 135° F - Convert the angle to a decimal in degrees. Round the answer to two decimal places. 2 132°52'48" - .—‘ » I . l ’ t3a°+b61+48i & ' __ ' _ - . i5 3 + 551(ch )+ 4‘5 (gt—‘0 60) {33 .i . Sigrmns 3;; E (r v o f 9\ Convert the angle to D” M' 5" form. Rouncgl-feigfigfih‘égmrest second. 3) 14.93 of; a? 3L. ii 1” 1+" , I 6H C 7+; ii’fiLtiéi 6 0) ft w J .. J3 > Find the length 5. Round theageéver'tfflgeeflgirhil‘fileces. 4) 01]: En Mrs Hestz'yas Solve the problem. 5) A circle has a radius of 11 centimeters. Find the area of the sector of the circle formed b necessary, round the answer to two decimal places. 19 .- 511 ML! C1 [3‘1 ran ra dgamg Evil}? 8 y an angle of 55°. If — 66° A_ J_ lf—(n 7T) : 65.7710 _ a T A:5‘9«07’5‘cm1 : “7T 6) For a circle of radius 4 feet, find the arc length s subtended by a centra ang e of 60° hundredth. v" m—e S L+ is Lt“ ~: isles Hh "50 ,rf—‘H‘n 2: __ L; m H 3 If A denotes the area of the sector of a circle of ra ms r ormed by the central angle 9, find the missing quantity. If necessary, round the answer to two decimal places. . Round to the nearest 7 9=90°,A=785 uaremeters,r:? Q n ) Cl f I028 81 ’ C30 '— A: "‘7: : 90...; 1 e— 180 4% : .Li' l 7;“ a 1 L —,L Bra: ’ITr‘ fr____‘ In ‘3 0 .II o"' " L - , L Solve the problem. a3] : r t’ J LI I 8) An object is traveling around a circle witha ‘ I entimeters. If in 20 seconds a central angle of% radian is swept out, what is the linear speed of the object? [mg to 2.0 $43de : g 0 fS-:Y‘& r .. m :L ‘0 _J§?.‘ZO S:l0§5(m _ :I "1____ 3 In the problem, t is a real number and P = (x, y} is the point on the unit circle that corresponds to t. ' the six trigonometric function of t. Mrs Hesh'yas Find the exact value. Do not use a calculator. _ 10) sin(22n) pflM‘b CI fl) 5; gm; fitmalfim 1‘; Z I Sam [zle-+D) : Sme :10 Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. 11) cot 930° (30+ [FIT-+3 o ) Cat 30 HQ. A point on the terminal side of an angle 8 is given. 'Find the exact value of the six trigonometric function of B. 12) (—2, -1) Find the exact value of the expression. Do not use a calculator. 13) cos 120° tan 60° 6033 [lg—Oreo) (QO#% 0) 605(277’60) to“ (T'go) (b5 (ego) kooky) 3 ~— «(i—Jg 603 Coo [—— tween) Find the exact value of the expression if B = 45 . Do not use a calculator. 14) g(6) = sin 8 Find 6g(8). 'r : 5'0 h: who) ILPD C; 6 3090 Q ((3) [[16 > +++++++ +++++++++++++++++++++++++ ++++++++++++ +++++++++++++ +++++++++++++++++++++++++++++++++++++ +++++++++++++ +++++++++++ Mrs Hestiyas Name the quadrant in which the angle 6 lies. 15)tan8<0, sin8<0 W / Find the exact value of the other five trigonometric function of 6. {FM—E“ . 2 n _ "- 9h 16) amen-g, tan6>0 Cgcgi — LL Case : q " e Sec: 9 3 "‘ —-—;:: tone;~—%wi- 13—0?— ~34? ’ d “SF-t ‘- i2; 1 a] n ’d 3-? Use the even—odd properties to find the exact value of the expression. Do not use a calculator. 17) C0t[- 361] k (bi: % Graph the sinusoidal function using key points. 18) y = —4 cos(nx) re lj ‘3 C133 A m,» zen/Ne") (fly—i) (3:7 20> ('2‘? 0 ._ v— 330Ade “1—; 1“ F 2“ :amclimg “TIT "NT—G z 2;: _1_ u 1+ L} a _ W CBCLLQ by: auwfip 7E ZTgtit'GvLi J E9) V?) Ci" 3 [the {9%}; (024*) “17:20) ‘1 Lt) K}£)@>£Z;L}') ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++ +++++++ +++ +++++++++++++ +++++++ Mrs Hestiyas Solve the problem. . 19) If f(6) 2: tan 6 and Ha) = 6, find the exact value of {(—a). act—wzkovvbm 39m): We. 2 (3 _ Z—kcrmo— Find an equation for tg; 20) Graph the function. +++++++ ++++++++++++ +++++++++++++ ++++++++++++ +++++++++++++ +++++++++++++++++++++++++ ++++++++++++ +++++++++++++ +++++++++++ Mrs Hestiyns Graph the function. Show at least one period. 22) y = 3 5in(4'rcx + 3) Solve the problem. 23) If sin 8 = 0.8, find the value of sin 6 + sin (8 + 2n) + 5111(6) + 4n). Sin 8 4—31‘09-F‘3 {‘0 (9L 3‘751‘0 @- Find (i) the amplitude, (ii) the period, and (iii) the phase shift. 24) y = — % sin(4x + 371) 2, T:— h—ZT " .27? :; IL. 1/0 LIL 2. +++++++ ++++++++++++ +++++++++++++ ++++++++++++ ++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++ +++++++++++ Mrs Hestiyas Solve the problem. 25) The following data represents the normal monthly precipitation for a certain city in California. Normal Monthly Precipitation, inches Month, x January, 1 6.06 February, 2 4.45 March, 3 4.38 April, 4 2.08 May, 5 1.27 June, 6 0.56 July, 7 0.17 August, 8 0.46 September, 9 0.91 October, 10 2.24 November, 11 5.21 December, 12 5.51 Draw a scatter diagram of the data for one period. Find a sinusoidal function of the form y A sin (cox — (p) + B that fits the data. Draw the sinusoidal function on the scatter diagram. Use a graphing utility to find the sinusoidal function of best fit. Draw the sinusoidal function of best fit on the scatter diagram. fling—Qasfitnnla x :7: 63m 0657 "Hm. Cakbelarlo‘m’. k that a... 0.1... do an, a, 1...”, [logagtmm Q 3; 5,13 stiaceéaxwu b15128)+ 3J5" +++++++ ++++++++++++ +++++++++++++ +++++++++++++++++++++++++ ++++++++++++ +++++++++++++ ++++++++++++ +++++++++++++ +++++++++++ Mrs Hestiyas ...
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WS 1 - Precalculus 11 : Handwritten Homework Worksheet : 1...

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