# A treatise on the analytical geometry of the point, line, by Casey J.

By Casey J.

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Sample text

Tan 60 log cos 40 4'. 17'. Find the angle (a) 46'. (e) (d) log cot 48 4'. 5883; and sine log sin 62 log cos 72 (6) 17'. 8'. 4072. 6. 6000. 7726 10; and (6) CHAPTER III SOLUTION OF THE RIGHT TRIANGLE If we are given a right triangle and that one angle is 90 and we are given, in addition, either of the other angles and any side, or any two sides, the triangle is determined uniquely. It is the purpose of this chapter to show how the trigonometric 13. Right triangle. therefore know functions enable one to find the missing parts of a right We call triangle, when the above information is given.

Lies in the Q Then, since sin == 5 we have: 20. Therefore: But, since Therefore: lies in the third quadrant, x must be negative. x = -4. From PLANE TRIGONOMETRY 40 Hence we have the following: sin = - = 4 5 cos o 3 tan 6 = 7 4 esc e = sec = -f 5 7 4 cot 8 4 = o Problems Find in what quadrants the following angles 214; -120; 750; -600; -423; 542; 6000. 1. In the following problems, consider positive lie: 346; and between and 360. 2. 3. 4. 5. 6. 7. 8. 9. 10. Given Given Given Given Given Given Given Given Given cos sec cot tan 6 sin tan 6 sin 6 esc tan f, 20.

Therefore know functions enable one to find the missing parts of a right We call triangle, when the above information is given. this process solving the right triangle. Example A 1 Given the right triangle ABC (Figure = 26 14'; solve the triangle. '. ". 70 Logarithms might have been used in this problem; however, having c = 100, as the multiplier, simplified the problem. Example 2 Given the right triangle ABC] find a when 70. '. 6 log tan 20 Adding, log a /. 3 Example 3 Given the right triangle ABC] find A when c = 389 and a = 202.