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Page viii
... Given two Sides and the Included Angle Given the Three Sides . 28 28 • § 23. Case IV . Exercises X. Given two Sides and an Angle Opposite One 29 Solution of Triangles § 24. The Law of Sines . § 25. The Law of Cosines 29 30 32 Exercises ...
... Given two Sides and the Included Angle Given the Three Sides . 28 28 • § 23. Case IV . Exercises X. Given two Sides and an Angle Opposite One 29 Solution of Triangles § 24. The Law of Sines . § 25. The Law of Cosines 29 30 32 Exercises ...
Page 2
... angle ; ( 2 ) two angles and the included side ; or ( 3 ) three sides ; or ... given , the rest can be found by drawing the triangle as in elementary ... given parts is called solving the triangle . 3. Preliminary Estimate : Check . In ...
... angle ; ( 2 ) two angles and the included side ; or ( 3 ) three sides ; or ... given , the rest can be found by drawing the triangle as in elementary ... given parts is called solving the triangle . 3. Preliminary Estimate : Check . In ...
Page 3
... angles are 43 ° and 53 ° , the side opposite the first is 5.7 . ( c ) Two sides are 4.3 and 5.3 , the included angle is 57 ° . ( d ) The three sides of a triangle are 4.3 , 5.3 , 6.3 . 2. From which of the following sets of given parts ...
... angles are 43 ° and 53 ° , the side opposite the first is 5.7 . ( c ) Two sides are 4.3 and 5.3 , the included angle is 57 ° . ( d ) The three sides of a triangle are 4.3 , 5.3 , 6.3 . 2. From which of the following sets of given parts ...
Page 6
... angle of 40 ° . Measure , by each of the methods of Ex . 4 , the length of ... given by their coördinates in rods , referred to two sides of the farm as ... angle OBA = 37 ° , are measured . Find approximately the height by placing the ...
... angle of 40 ° . Measure , by each of the methods of Ex . 4 , the length of ... given by their coördinates in rods , referred to two sides of the farm as ... angle OBA = 37 ° , are measured . Find approximately the height by placing the ...
Page 7
... angle of a right tri- angle is 30 ° , the side opposite this angle is one half the hypotenuse . Hence if the hypotenuse is given , that side , and hence also the other one , can be determined . If in Fig . 4 , AB 22.5 , and △ A = 30 ...
... angle of a right tri- angle is 30 ° , the side opposite this angle is one half the hypotenuse . Hence if the hypotenuse is given , that side , and hence also the other one , can be determined . If in Fig . 4 , AB 22.5 , and △ A = 30 ...
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Common terms and phrases
acute angle angle of elevation angle opposite angular speed Arccos Arcsin Arctan axes c d L Ctn called circle congruent angles coördinates cos² cosine law cotangent Ctn c d curve denoted determine direction draw equal Example EXERCISES figure Find the angle Find the distance force formulas geometry given angle graph hence hypotenuse included angle law of cosines law of sines law of tangents length mantissa method negative obtuse angle perpendicular plane polar triangle positive angle Proj Prop Prove Quad radius read as printed read co-function resultant revolutions per minute right angle right triangle rotation sec² segment side opposite simple harmonic motions sin² spherical triangle subtends subtract tabular difference tan² terminal side theorem tion trigonometric functions unit velocity vertex whence x-axis y-axis