Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 12.3, Problem 4WE
To determine

Give the values of six trigonometric functions of θ in standard form whose terminal side passes through the point P(8,15)

Expert Solution & Answer
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Answer to Problem 4WE

  sinθ=1517

  cosθ=817

  tanθ=158

  cscθ=1715

  secθ=178

  cotθ=815

Explanation of Solution

Formula Used:

  sinθ=length of side opposite to θlength of the hypotenuse=yr

  cosθ=length of side adjacent to θlength of the hypotenuse=xr

  tanθ=length of side opposite to θlength of side adjacent to θ=yx

  cscθ=1sinθ=ry

  secθ=1cosθ=rx

  cotθ=1tanθ=xy

Calculation:

Since terminal side passes through the point P(8,15)

So,

x = length of the side adjacent to the angle θ = -8

y = length of the side opposite to the angle θ = -15

r = length of the hypotenuse = x2+y2=225+64=17

  sinθ=yr=1517

  cosθ=xr=817

  tanθ=yx=158=158

  cscθ=ry=1715

  secθ=rx=178

  cotθ=xy=815

Chapter 12 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 12.1 - Prob. 11OECh. 12.1 - Prob. 12OECh. 12.1 - Prob. 13OECh. 12.1 - Prob. 14OECh. 12.1 - Prob. 15OECh. 12.1 - Prob. 16OECh. 12.1 - Prob. 17OECh. 12.1 - Prob. 18OECh. 12.1 - Prob. 19OECh. 12.1 - Prob. 20OECh. 12.1 - Prob. 21OECh. 12.1 - Prob. 22OECh. 12.1 - Prob. 23OECh. 12.1 - Prob. 24OECh. 12.1 - Prob. 25OECh. 12.1 - Prob. 26OECh. 12.1 - Prob. 1WECh. 12.1 - Prob. 2WECh. 12.1 - Prob. 3WECh. 12.1 - Prob. 4WECh. 12.1 - Prob. 5WECh. 12.1 - Prob. 6WECh. 12.1 - Prob. 7WECh. 12.1 - Prob. 8WECh. 12.1 - Prob. 9WECh. 12.1 - Prob. 10WECh. 12.1 - Prob. 11WECh. 12.1 - Prob. 12WECh. 12.1 - Prob. 13WECh. 12.1 - Prob. 14WECh. 12.1 - Prob. 15WECh. 12.1 - Prob. 16WECh. 12.1 - Prob. 17WECh. 12.1 - Prob. 18WECh. 12.1 - Prob. 19WECh. 12.1 - Prob. 20WECh. 12.1 - Prob. 21WECh. 12.1 - Prob. 22WECh. 12.1 - Prob. 23WECh. 12.1 - Prob. 24WECh. 12.1 - Prob. 25WECh. 12.1 - Prob. 26WECh. 12.1 - Prob. 27WECh. 12.1 - Prob. 28WECh. 12.1 - Prob. 29WECh. 12.1 - Prob. 30WECh. 12.1 - Prob. 31WECh. 12.1 - Prob. 32WECh. 12.1 - Prob. 33WECh. 12.1 - Prob. 34WECh. 12.1 - Prob. 35WECh. 12.1 - Prob. 36WECh. 12.1 - Prob. 37WECh. 12.1 - Prob. 38WECh. 12.1 - Prob. 39WECh. 12.1 - Prob. 40WECh. 12.1 - Prob. 41WECh. 12.1 - Prob. 42WECh. 12.1 - Prob. 43WECh. 12.1 - Prob. 44WECh. 12.1 - Prob. 45WECh. 12.1 - Prob. 46WECh. 12.1 - Prob. 47WECh. 12.1 - Prob. 48WECh. 12.1 - Prob. 49WECh. 12.1 - Prob. 50WECh. 12.1 - Prob. 51WECh. 12.1 - Prob. 52WECh. 12.1 - Prob. 53WECh. 12.1 - Prob. 54WECh. 12.1 - Prob. 55WECh. 12.1 - Prob. 56WECh. 12.1 - Prob. 57WECh. 12.1 - Prob. 58WECh. 12.1 - Prob. 59WECh. 12.1 - Prob. 60WECh. 12.1 - Prob. 61WECh. 12.1 - Prob. 62WECh. 12.1 - Prob. 63WECh. 12.1 - Prob. 64WECh. 12.1 - Prob. 65WECh. 12.1 - Prob. 66WECh. 12.1 - Prob. 1MRECh. 12.1 - Prob. 2MRECh. 12.1 - Prob. 3MRECh. 12.1 - Prob. 4MRECh. 12.1 - Prob. 5MRECh. 12.1 - Prob. 6MRECh. 12.1 - Prob. 7MRECh. 12.1 - Prob. 8MRECh. 12.1 - Prob. 9MRECh. 12.1 - Prob. 10MRECh. 12.1 - Prob. 11MRECh. 12.1 - Prob. 12MRECh. 12.2 - Prob. 1OECh. 12.2 - Prob. 2OECh. 12.2 - Prob. 3OECh. 12.2 - Prob. 4OECh. 12.2 - Prob. 5OECh. 12.2 - Prob. 6OECh. 12.2 - Prob. 7OECh. 12.2 - Prob. 8OECh. 12.2 - Prob. 9OECh. 12.2 - Prob. 10OECh. 12.2 - Prob. 11OECh. 12.2 - Prob. 12OECh. 12.2 - Prob. 1WECh. 12.2 - Prob. 2WECh. 12.2 - Prob. 3WECh. 12.2 - Prob. 4WECh. 12.2 - Prob. 5WECh. 12.2 - Prob. 6WECh. 12.2 - Prob. 7WECh. 12.2 - Prob. 8WECh. 12.2 - Prob. 9WECh. 12.2 - Prob. 10WECh. 12.2 - Prob. 11WECh. 12.2 - Prob. 12WECh. 12.2 - Prob. 13WECh. 12.2 - Prob. 14WECh. 12.2 - Prob. 15WECh. 12.2 - Prob. 16WECh. 12.2 - Prob. 17WECh. 12.2 - Prob. 18WECh. 12.2 - Prob. 19WECh. 12.2 - Prob. 20WECh. 12.2 - Prob. 21WECh. 12.2 - Prob. 22WECh. 12.2 - Prob. 23WECh. 12.2 - Prob. 24WECh. 12.2 - Prob. 25WECh. 12.2 - Prob. 26WECh. 12.2 - Prob. 27WECh. 12.2 - Prob. 28WECh. 12.2 - Prob. 29WECh. 12.2 - Prob. 30WECh. 12.2 - Prob. 31WECh. 12.2 - Prob. 32WECh. 12.2 - Prob. 33WECh. 12.2 - Prob. 34WECh. 12.3 - Prob. 1OECh. 12.3 - Prob. 2OECh. 12.3 - Prob. 3OECh. 12.3 - Prob. 4OECh. 12.3 - Prob. 5OECh. 12.3 - Prob. 6OECh. 12.3 - Prob. 7OECh. 12.3 - Prob. 8OECh. 12.3 - Prob. 9OECh. 12.3 - Prob. 10OECh. 12.3 - Prob. 11OECh. 12.3 - Prob. 12OECh. 12.3 - Prob. 13OECh. 12.3 - Prob. 14OECh. 12.3 - Prob. 15OECh. 12.3 - Prob. 16OECh. 12.3 - Prob. 17OECh. 12.3 - Prob. 18OECh. 12.3 - Prob. 19OECh. 12.3 - Prob. 20OECh. 12.3 - Prob. 21OECh. 12.3 - Prob. 22OECh. 12.3 - Prob. 23OECh. 12.3 - Prob. 24OECh. 12.3 - Prob. 25OECh. 12.3 - Prob. 26OECh. 12.3 - Prob. 27OECh. 12.3 - Prob. 28OECh. 12.3 - Prob. 29OECh. 12.3 - Prob. 30OECh. 12.3 - Prob. 31OECh. 12.3 - Prob. 32OECh. 12.3 - Prob. 1WECh. 12.3 - Prob. 2WECh. 12.3 - Prob. 3WECh. 12.3 - Prob. 4WECh. 12.3 - Prob. 5WECh. 12.3 - Prob. 6WECh. 12.3 - Prob. 7WECh. 12.3 - Prob. 8WECh. 12.3 - Prob. 9WECh. 12.3 - Prob. 10WECh. 12.3 - Prob. 11WECh. 12.3 - Prob. 12WECh. 12.3 - Prob. 13WECh. 12.3 - Prob. 14WECh. 12.3 - Prob. 15WECh. 12.3 - Prob. 16WECh. 12.3 - Prob. 17WECh. 12.3 - Prob. 18WECh. 12.3 - Prob. 19WECh. 12.3 - Prob. 20WECh. 12.3 - Prob. 21WECh. 12.3 - Prob. 22WECh. 12.3 - Prob. 23WECh. 12.3 - Prob. 24WECh. 12.3 - Prob. 25WECh. 12.3 - Prob. 26WECh. 12.3 - Prob. 27WECh. 12.3 - Prob. 28WECh. 12.3 - Prob. 29WECh. 12.3 - Prob. 30WECh. 12.3 - Prob. 31WECh. 12.3 - Prob. 32WECh. 12.3 - Prob. 33WECh. 12.3 - Prob. 34WECh. 12.3 - Prob. 35WECh. 12.3 - Prob. 36WECh. 12.3 - Prob. 37WECh. 12.3 - Prob. 38WECh. 12.3 - Prob. 39WECh. 12.3 - Prob. 40WECh. 12.3 - Prob. 41WECh. 12.3 - Prob. 42WECh. 12.3 - Prob. 43WECh. 12.3 - Prob. 44WECh. 12.3 - Prob. 45WECh. 12.3 - Prob. 46WECh. 12.3 - Prob. 47WECh. 12.3 - Prob. 48WECh. 12.3 - Prob. 49WECh. 12.3 - Prob. 50WECh. 12.3 - Prob. 51WECh. 12.3 - Prob. 52WECh. 12.3 - Prob. 53WECh. 12.3 - Prob. 54WECh. 12.3 - Prob. 55WECh. 12.3 - Prob. 56WECh. 12.3 - Prob. 57WECh. 12.3 - Prob. 58WECh. 12.3 - Prob. 59WECh. 12.3 - Prob. 60WECh. 12.3 - Prob. 61WECh. 12.3 - Prob. 62WECh. 12.3 - Prob. 63WECh. 12.3 - Prob. 64WECh. 12.3 - Prob. 65WECh. 12.3 - Prob. 66WECh. 12.3 - Prob. 67WECh. 12.3 - Prob. 68WECh. 12.3 - Prob. 69WECh. 12.3 - Prob. 70WECh. 12.3 - Prob. 71WECh. 12.3 - Prob. 72WECh. 12.3 - Prob. 73WECh. 12.3 - Prob. 74WECh. 12.3 - Prob. 75WECh. 12.3 - Prob. 76WECh. 12.3 - Prob. 1MRECh. 12.3 - Prob. 2MRECh. 12.3 - Prob. 3MRECh. 12.3 - Prob. 4MRECh. 12.3 - Prob. 5MRECh. 12.3 - Prob. 6MRECh. 12.3 - Prob. 7MRECh. 12.3 - Prob. 8MRECh. 12.3 - Prob. 9MRECh. 12.4 - Prob. 1OECh. 12.4 - Prob. 2OECh. 12.4 - Prob. 3OECh. 12.4 - Prob. 4OECh. 12.4 - Prob. 5OECh. 12.4 - Prob. 6OECh. 12.4 - Prob. 7OECh. 12.4 - Prob. 8OECh. 12.4 - Prob. 9OECh. 12.4 - Prob. 10OECh. 12.4 - Prob. 11OECh. 12.4 - Prob. 12OECh. 12.4 - Prob. 13OECh. 12.4 - Prob. 14OECh. 12.4 - Prob. 15OECh. 12.4 - Prob. 16OECh. 12.4 - Prob. 17OECh. 12.4 - Prob. 18OECh. 12.4 - Prob. 19OECh. 12.4 - Prob. 20OECh. 12.4 - Prob. 21OECh. 12.4 - Prob. 22OECh. 12.4 - Prob. 23OECh. 12.4 - Prob. 24OECh. 12.4 - Prob. 25OECh. 12.4 - Prob. 1WECh. 12.4 - Prob. 2WECh. 12.4 - Prob. 3WECh. 12.4 - Prob. 4WECh. 12.4 - Prob. 5WECh. 12.4 - Prob. 6WECh. 12.4 - Prob. 7WECh. 12.4 - Prob. 8WECh. 12.4 - Prob. 9WECh. 12.4 - Prob. 10WECh. 12.4 - Prob. 11WECh. 12.4 - Prob. 12WECh. 12.4 - Prob. 13WECh. 12.4 - Prob. 14WECh. 12.4 - Prob. 15WECh. 12.4 - Prob. 16WECh. 12.4 - Prob. 17WECh. 12.4 - Prob. 18WECh. 12.4 - Prob. 19WECh. 12.4 - Prob. 20WECh. 12.4 - Prob. 21WECh. 12.4 - Prob. 22WECh. 12.4 - Prob. 23WECh. 12.4 - Prob. 24WECh. 12.4 - Prob. 25WECh. 12.4 - Prob. 26WECh. 12.4 - Prob. 27WECh. 12.4 - Prob. 28WECh. 12.4 - Prob. 29WECh. 12.4 - Prob. 30WECh. 12.4 - Prob. 31WECh. 12.4 - Prob. 32WECh. 12.4 - Prob. 33WECh. 12.4 - Prob. 34WECh. 12.4 - Prob. 35WECh. 12.4 - Prob. 36WECh. 12.4 - Prob. 37WECh. 12.4 - Prob. 38WECh. 12.4 - Prob. 39WECh. 12.4 - Prob. 40WECh. 12.4 - Prob. 41WECh. 12.4 - Prob. 42WECh. 12.4 - Prob. 43WECh. 12.4 - Prob. 44WECh. 12.4 - Prob. 45WECh. 12.4 - Prob. 46WECh. 12.4 - Prob. 1STCh. 12.4 - Prob. 2STCh. 12.4 - Prob. 3STCh. 12.4 - Prob. 4STCh. 12.4 - Prob. 5STCh. 12.4 - Prob. 6STCh. 12.4 - Prob. 7STCh. 12.4 - Prob. 8STCh. 12.5 - Prob. 1OECh. 12.5 - Prob. 2OECh. 12.5 - Prob. 3OECh. 12.5 - Prob. 4OECh. 12.5 - Prob. 5OECh. 12.5 - Prob. 6OECh. 12.5 - Prob. 7OECh. 12.5 - Prob. 8OECh. 12.5 - Prob. 9OECh. 12.5 - Prob. 10OECh. 12.5 - Prob. 1WECh. 12.5 - Prob. 2WECh. 12.5 - Prob. 3WECh. 12.5 - Prob. 4WECh. 12.5 - Prob. 5WECh. 12.5 - Prob. 6WECh. 12.5 - Prob. 7WECh. 12.5 - Prob. 8WECh. 12.5 - Prob. 9WECh. 12.5 - Prob. 10WECh. 12.5 - Prob. 11WECh. 12.5 - Prob. 12WECh. 12.5 - Prob. 13WECh. 12.5 - Prob. 14WECh. 12.5 - Prob. 15WECh. 12.5 - Prob. 16WECh. 12.5 - Prob. 17WECh. 12.5 - Prob. 18WECh. 12.5 - Prob. 19WECh. 12.5 - Prob. 20WECh. 12.5 - Prob. 21WECh. 12.5 - Prob. 22WECh. 12.5 - Prob. 23WECh. 12.5 - Prob. 24WECh. 12.5 - Prob. 1PCh. 12.5 - Prob. 2PCh. 12.5 - Prob. 3PCh. 12.5 - Prob. 4PCh. 12.5 - Prob. 5PCh. 12.5 - Prob. 6PCh. 12.5 - Prob. 7PCh. 12.5 - Prob. 8PCh. 12.5 - Prob. 9PCh. 12.5 - Prob. 10PCh. 12.5 - Prob. 11PCh. 12.5 - Prob. 12PCh. 12.5 - Prob. 13PCh. 12.5 - Prob. 14PCh. 12.5 - Prob. 15PCh. 12.5 - Prob. 16PCh. 12.5 - Prob. 17PCh. 12.5 - Prob. 1MRECh. 12.5 - Prob. 2MRECh. 12.5 - Prob. 3MRECh. 12.5 - Prob. 4MRECh. 12.5 - Prob. 5MRECh. 12.5 - Prob. 6MRECh. 12.5 - Prob. 7MRECh. 12.5 - Prob. 8MRECh. 12.5 - Prob. 9MRECh. 12.5 - Prob. 10MRECh. 12.6 - Prob. 1OECh. 12.6 - Prob. 2OECh. 12.6 - Prob. 3OECh. 12.6 - Prob. 4OECh. 12.6 - Prob. 5OECh. 12.6 - Prob. 6OECh. 12.6 - Prob. 1WECh. 12.6 - Prob. 2WECh. 12.6 - Prob. 3WECh. 12.6 - Prob. 4WECh. 12.6 - Prob. 5WECh. 12.6 - Prob. 6WECh. 12.6 - Prob. 7WECh. 12.6 - Prob. 8WECh. 12.6 - Prob. 9WECh. 12.6 - Prob. 10WECh. 12.6 - Prob. 11WECh. 12.6 - Prob. 12WECh. 12.6 - Prob. 13WECh. 12.6 - Prob. 14WECh. 12.6 - Prob. 15WECh. 12.6 - Prob. 16WECh. 12.6 - Prob. 17WECh. 12.6 - Prob. 18WECh. 12.6 - Prob. 19WECh. 12.6 - Prob. 1PCh. 12.6 - Prob. 2PCh. 12.6 - Prob. 3PCh. 12.6 - Prob. 4PCh. 12.6 - Prob. 5PCh. 12.6 - Prob. 6PCh. 12.6 - Prob. 7PCh. 12.6 - Prob. 8PCh. 12.6 - Prob. 9PCh. 12.6 - Prob. 10PCh. 12.6 - Prob. 11PCh. 12.6 - Prob. 12PCh. 12.6 - Prob. 1CECh. 12.6 - Prob. 2CECh. 12.6 - Prob. 3CECh. 12.6 - Prob. 4CECh. 12.6 - Prob. 5CECh. 12.6 - Prob. 6CECh. 12.6 - Prob. 1ECh. 12.6 - Prob. 2ECh. 12.6 - Prob. 3ECh. 12.6 - Prob. 4ECh. 12.7 - Prob. 1OECh. 12.7 - Prob. 2OECh. 12.7 - Prob. 3OECh. 12.7 - Prob. 4OECh. 12.7 - Prob. 5OECh. 12.7 - Prob. 6OECh. 12.7 - Prob. 1WECh. 12.7 - Prob. 2WECh. 12.7 - Prob. 3WECh. 12.7 - Prob. 4WECh. 12.7 - Prob. 5WECh. 12.7 - Prob. 6WECh. 12.7 - Prob. 7WECh. 12.7 - Prob. 8WECh. 12.7 - Prob. 9WECh. 12.7 - Prob. 10WECh. 12.7 - Prob. 11WECh. 12.7 - Prob. 12WECh. 12.7 - Prob. 13WECh. 12.7 - Prob. 14WECh. 12.7 - Prob. 15WECh. 12.7 - Prob. 16WECh. 12.7 - Prob. 17WECh. 12.7 - Prob. 18WECh. 12.7 - Prob. 19WECh. 12.7 - Prob. 20WECh. 12.7 - Prob. 21WECh. 12.7 - Prob. 22WECh. 12.7 - Prob. 1PCh. 12.7 - Prob. 2PCh. 12.7 - Prob. 3PCh. 12.7 - Prob. 4PCh. 12.7 - Prob. 5PCh. 12.7 - Prob. 6PCh. 12.7 - Prob. 7PCh. 12.7 - Prob. 8PCh. 12.7 - Prob. 9PCh. 12.7 - Prob. 10PCh. 12.7 - Prob. 11PCh. 12.7 - Prob. 12PCh. 12.7 - Prob. 13PCh. 12.7 - Prob. 1MRECh. 12.7 - Prob. 2MRECh. 12.7 - Prob. 3MRECh. 12.7 - Prob. 4MRECh. 12.7 - Prob. 5MRECh. 12.7 - Prob. 6MRECh. 12.7 - Prob. 7MRECh. 12.7 - Prob. 8MRECh. 12.7 - Prob. 9MRECh. 12.8 - Prob. 1OECh. 12.8 - Prob. 2OECh. 12.8 - Prob. 3OECh. 12.8 - Prob. 4OECh. 12.8 - Prob. 5OECh. 12.8 - Prob. 6OECh. 12.8 - Prob. 7OECh. 12.8 - Prob. 8OECh. 12.8 - Prob. 9OECh. 12.8 - Prob. 10OECh. 12.8 - Prob. 11OECh. 12.8 - Prob. 12OECh. 12.8 - Prob. 13OECh. 12.8 - Prob. 14OECh. 12.8 - Prob. 15OECh. 12.8 - Prob. 16OECh. 12.8 - Prob. 17OECh. 12.8 - Prob. 18OECh. 12.8 - Prob. 19OECh. 12.8 - Prob. 20OECh. 12.8 - Prob. 1WECh. 12.8 - Prob. 2WECh. 12.8 - Prob. 3WECh. 12.8 - Prob. 4WECh. 12.8 - Prob. 5WECh. 12.8 - Prob. 6WECh. 12.8 - Prob. 7WECh. 12.8 - Prob. 8WECh. 12.8 - Prob. 9WECh. 12.8 - Prob. 10WECh. 12.8 - Prob. 11WECh. 12.8 - Prob. 12WECh. 12.8 - Prob. 13WECh. 12.8 - Prob. 14WECh. 12.8 - Prob. 15WECh. 12.8 - Prob. 16WECh. 12.8 - Prob. 17WECh. 12.8 - Prob. 18WECh. 12.8 - Prob. 19WECh. 12.8 - Prob. 20WECh. 12.8 - Prob. 1PCh. 12.8 - Prob. 2PCh. 12.8 - Prob. 3PCh. 12.8 - Prob. 4PCh. 12.8 - Prob. 5PCh. 12.8 - Prob. 6PCh. 12.8 - Prob. 7PCh. 12.8 - Prob. 8PCh. 12.8 - Prob. 9PCh. 12.8 - Prob. 10PCh. 12.8 - Prob. 11PCh. 12.8 - Prob. 12PCh. 12.8 - Prob. 13PCh. 12.8 - Prob. 14PCh. 12.9 - Prob. 1OECh. 12.9 - Prob. 2OECh. 12.9 - Prob. 3OECh. 12.9 - Prob. 4OECh. 12.9 - Prob. 5OECh. 12.9 - Prob. 6OECh. 12.9 - Prob. 7OECh. 12.9 - Prob. 8OECh. 12.9 - Prob. 9OECh. 12.9 - Prob. 1WECh. 12.9 - Prob. 2WECh. 12.9 - Prob. 3WECh. 12.9 - Prob. 4WECh. 12.9 - Prob. 5WECh. 12.9 - Prob. 6WECh. 12.9 - Prob. 7WECh. 12.9 - Prob. 8WECh. 12.9 - Prob. 9WECh. 12.9 - Prob. 10WECh. 12.9 - Prob. 11WECh. 12.9 - Prob. 12WECh. 12.9 - Prob. 13WECh. 12.9 - Prob. 14WECh. 12.9 - Prob. 15WECh. 12.9 - Prob. 16WECh. 12.9 - Prob. 17WECh. 12.9 - Prob. 18WECh. 12.9 - Prob. 19WECh. 12.9 - Prob. 1MRECh. 12.9 - Prob. 2MRECh. 12.9 - Prob. 3MRECh. 12.9 - Prob. 4MRECh. 12.9 - Prob. 5MRECh. 12.9 - Prob. 6MRECh. 12.9 - Prob. 7MRECh. 12.9 - Prob. 8MRECh. 12.9 - Prob. 1STCh. 12.9 - Prob. 2STCh. 12.9 - Prob. 3STCh. 12.9 - Prob. 4STCh. 12.9 - Prob. 5STCh. 12 - Prob. 1CRCh. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - Prob. 6CRCh. 12 - Prob. 7CRCh. 12 - Prob. 8CRCh. 12 - Prob. 9CRCh. 12 - Prob. 10CRCh. 12 - Prob. 11CRCh. 12 - Prob. 12CRCh. 12 - Prob. 13CRCh. 12 - Prob. 14CRCh. 12 - Prob. 15CRCh. 12 - Prob. 16CRCh. 12 - Prob. 17CRCh. 12 - Prob. 18CRCh. 12 - Prob. 19CRCh. 12 - Prob. 20CRCh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Prob. 9CTCh. 12 - Prob. 10CTCh. 12 - Prob. 11CT
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