Plane Trigonometry

Cover Plane Trigonometry
Plane Trigonometry
James M James Morford Taylor
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r = V(. S — a) (s — b) (s — c)/s, tan (A /2) z= r / (s — a), tan (5/2) =r/{s- 6), tan(C/2) = r/{s- c).
Here s = 165, s \og{s-a)= 1. 54407 log(s -b) = 1. 62325 log {s- c) = 1. 94448 5. 11180 log s = 2. 21748 . -. Log r = 2. 89432/2 a = 35, s - 6 = 42, s - c = 88.
. -. Log tan {A/2) = 9. 90309 - 10, whence ^/2 = 38° 39' 34. 6" ; log tan (B/2) = 9. 82. 391 - 10, whence B/2 = 33° 41' 24. 4"; log tan (C/2) = 9. 50268 - 10, whence C/2 = 17° 39' 1".
= 11. 44716 - 10. Check. A + B+C = 11°W 9" - 67° 22'
... 49" + 35° 18' 2" = 180^ EXERCISE XXII Solve each of the following triangles : 1. Given a = 56, b = 43, c:^49.
2. Given a = 8. 5, 6 = 9. 2, c = 7. 8.
3. Given a = 61. 3, b = 84. 7, c = 47. 6.
4. Given a = 705, b = 562, c = 639.
5. Given a = . 0291, b = . 0184, c = . 0. 358.
6. Given a = 85, b = 127, A = 26° 26'.
7. Given a = 5. 953, b = 9. 639, C = 134°.
8. Given a = 3019, b = 6731, c = 4, 228.
9. Given a = 60. 935, c = 76. 097, A = 133° 41' THREE SIDES GIVEN 91 10. Given h = 74.


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