0.9467, (d) cos 79 45 in Visual Studio .NET

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0.9467, (d) cos 79 45
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Find, to four decimal places, the values of the six trigonometric functions of each of the following angles: (a) 29.43 , Ans. (a) (b) (c) (d) 29.43 73.67 61.72 12.08 (b) 73.67 , sine 0.4914 0.9596 0.8807 0.2093 (c) 61.72 , cosine 0.8710 0.2812 0.4738 0.9779 (d) 12.08 tangent 0.5642 3.4131 1.8588 0.2140 cotangent 1.7725 0.2930 0.5380 4.6726 secant 1.1482 3.5566 2.1107 1.0226 cosecant 2.0352 1.0420 1.1355 4.7784
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CHAPTER 4 Solution of Right Triangles
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[NOTE: With a calculator, the values are the same except for (b) sin 73.67 and (d) cot 12.08 4.6725.] 4.18 Find (acute) angle A, given: (a) (b) (c) (d) sin A sin A sin A sin A 0.5741 0.9468 0.3510 0.8900 0.2725 1.1652 0.5200 2.7775 1.1161 1.4382 1.2618 2.1584 Ans. A A A A A A A A A A A A 35 71 20 62 15 49 27 70 26 45 37 62 2 or 35.04 13 or 71.23 33 or 20.55 52 or 62.88 15 22 28 12 22 57 35 24 or 15.24 or 49.38 or 27.47 or 70.20 or 26.37 or 45.95 or 37.58 or 62.40 (e) (f) (g) (h) cos A cos A cos A cos A 0.9382 0.6200 0.7120 0.4651 0.2315 2.9715 0.7148 1.7040 3.6882 1.0547 1.7631 1.3436
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0.9597, (c) sin 61.72
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0.8806,
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Ans. A A A A A A A A A A A A
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20 51 44 62 76 18 54 30 15 71 34 48
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15 41 36 17 58 36 27 24
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or 20.25 or 51.68 or 44.60 or 62.28 or 76.97 or 18.60 or 54.44 or 30.41
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(i) tan A (j) tan A (k) tan A (l) tan A (q) sec A (r) sec A (s) sec A (t) sec A
(m) cot A (n) cot A (o) cot A (p) cot A (u) csc A (v) csc A (w) csc A (x) csc A
44 or 15.73 28 or 71.47 33 or 34.55 6 or 48.10
[NOTE: Calculator answers are the same except for (b) 71 14 , (d) 62.87 , and (j) 49.36 .] 4.19 Solve each of the right triangles ABC, given: (a) A (b) B (c) A (d) B (e) A (f) A (g) B (h) A (i) A (j) a (k) a (l) a (m) a (n) b (o) A (p) A 35 20 , c 48 40 , c 23 18 , c 54 12 , c 32 10 , a 58 40 , b 49 14 , b 66 36 , a 29 48 , b 25.4, b 45.6, b 38.64, b 506.2, c 672.9, c 23.2 , c 58.61 , b 112 225 346.4 182.5 75.4 38.6 222.2 112.6 458.2 38.2 84.8 48.74 984.8 888.1 117 87.24 Ans. B A B A B B A B B A A A A A B B 54 40 , a 64.8, b 91.4 41 20 , a 149, b 169 66 42 , a 137.0, b 318.1 35 48 , a 106.7, b 148.0 57 50 , b 120, c 142 31 20 , a 63.4, c 74.2 40 46 , a 191.6, c 293.4 23 24 , b 48.73, c 122.7 60 12 , a 262.4, c 528.0 33 40 , B 56 20 , c 45.9 or A 33.6 , B 56.4 28 20 , B 61 40 , c 96.3 or A 28.3 , B 61.7 38 24 , B 51 36 , c 62.20 or A 38.41 , B 51.59 30 56 , B 59 4 , b 844.7 or A 30.93 , B 59.07 40 44 , B 49 16 , a 579.6 or A 40.74 , B 49.26 66.8 , a 46.1, b 108 31.39 , a 143.0, c 167.5 106.8.]
[NOTE: With a calculator, the values are the same except for (d) a 4.20
Find the base and altitude of an isosceles triangle whose vertical angle is 65 and whose equal sides are 415 cm. Ans. Base 446 cm, altitude 350 cm
The base of an isosceles triangle is 15.90 in and the base angles are 54 28 . Find the equal sides and the altitude. Ans. Side 13.68 in, altitude 11.13 in
The radius of a circle is 21.4 m. Find (a) the length of the chord subtended by a central angle of 110 40 and (b) the distance between two parallel chords on the same side of the center subtended by central angles 118 40 and 52 20 . Ans. (a) 35.2 m, (b) 8.29 m
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