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Worksheet_12_Solutions

# Worksheet_12_Solutions - 5 O jH‘éTons‘ MATH 110...

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Unformatted text preview: 5 O jH‘éTons‘ MATH 110 Worksheet 12 November 10, 2009 Understand the deﬁnition of cosine and sine. 1. a. Suppose 0 < Q < Eand sinQ = g Evaluate cosQ. a + 2% (“Sf/7') ({Srneﬁw‘z ”9(605677” 1‘(1)") ~9 (”5&2 ; die/Lia, ~> axe», v.9:— 729; 04«6‘¢Tr/2) (0:63 37/? b. Suppose 0 < Q < —and sinQ— - —. Evaluate cosQ. (coming/L. a) >{ .9 (foggy: (1;)2 =/' ‘9 ((059); H/2i 4 “>36"? 1-1:? 574(5 04.9 47777, (036': “rib/ﬂ r c. Suppose 0 < Q < —and cosQ— — 5' Evaluate smlll. 1:5)7 r '5”; ﬁg}: (twah (5M6)? 5! ——7 (\$5?) + (Sthltf ’9 6’Wﬁ) 6’7 a f”) 9‘“ 02.3 47%,) 51>. 6*”:r/8’ . Be able to compute the cosine and sine of any multiple of 30°or 45° (— or 2). Be able to determine whether the cosine or sine of an angle is positive or negative from the location of the corresponding radius. 2. Fill in the following chart: Angle in degrees Angle in radians sin (x) Understand why cos2 Q + sin2 Q = 1. 3. Find the endpoint on the unit circle for the following angles, then find sile) and cos (Q), and finally find 362 + y2 for each set of coordinates. ‘ . t if _ i, X}?— {i ll.) “42 a. 7% {Si ) “a Cos; “/6 ,%)5m e e L . Xi—iji 2% ) H20 4 11' “l" I V y“ W ,_ 2.1+— rb 3: b. E %)%)~—§ (US Tr/Lf’: {SI/7,} 5m /‘f"r/’2v » X fja :CC’)Z *C%>C “if", - , , l C_ 4.; J/z; Fri/z) _, — 5% » J/z . m 12/2 x +3 (J )0 Wig) , i; n I; “I aiT w 4’, ‘1’ '1 ,J— 1/1 E 4'": d- -g ((5., /Z)‘?ro§~,;’:ﬁ/L) 9M z "1;, -x"’*j ’(“%> +( a) ‘1” ‘l ...
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