Plane and Spherical TrigonometryMacmillan, 1905 - 98 Seiten |
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Seite 7
... . B < B The common point is called the vertex of the angle . The half - lines are called the sides of the angle . One side OA is called the initial side , the 1 ' 7 PLANE AND SPHERICAL TRIGONOMETRY FUNCTIONS OF ANGLES ART I Angles.
... . B < B The common point is called the vertex of the angle . The half - lines are called the sides of the angle . One side OA is called the initial side , the 1 ' 7 PLANE AND SPHERICAL TRIGONOMETRY FUNCTIONS OF ANGLES ART I Angles.
Seite 8
... vertex which brings the initial side of the angle into coincidence with the terminal side . The amount and direction of this rotation are indicated by a circular arrow , with center at the vertex and extending from the initial side to ...
... vertex which brings the initial side of the angle into coincidence with the terminal side . The amount and direction of this rotation are indicated by a circular arrow , with center at the vertex and extending from the initial side to ...
Seite 10
... vertex on the two sides , and join- ing the extremities of these lines by a straight line . In the triangle formed the acute angles are 45 ° angles . Each angle of an equilateral triangle is an angle of 60 ° . An angle of any number of ...
... vertex on the two sides , and join- ing the extremities of these lines by a straight line . In the triangle formed the acute angles are 45 ° angles . Each angle of an equilateral triangle is an angle of 60 ° . An angle of any number of ...
Seite 11
... vertex to the radius . Notice that the circular measure of an angle is the length of the arc of the angle struck off with radius unity . Problems . Draw the following angles 1. 30 ° . 2. 15 ° . 3. 75 ° . 4. 135 ° . 7. 315 ° . Find the ...
... vertex to the radius . Notice that the circular measure of an angle is the length of the arc of the angle struck off with radius unity . Problems . Draw the following angles 1. 30 ° . 2. 15 ° . 3. 75 ° . 4. 135 ° . 7. 315 ° . Find the ...
Seite 12
... vertex , OX its initial side and OP its terminal side . XX ' is the straight line Y Y E P ' P 0 DD D " D " D D X x ' n D D'D " X P E in which the initial side lies . YY ' is perpendicular to XX ' at the vertex O. the angle and project ...
... vertex , OX its initial side and OP its terminal side . XX ' is the straight line Y Y E P ' P 0 DD D " D " D D X x ' n D D'D " X P E in which the initial side lies . YY ' is perpendicular to XX ' at the vertex O. the angle and project ...
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Häufige Begriffe und Wortgruppen
angle ends Applying base line becomes known Check log circle circular measure Construct the angles cos a cos cos² cosec cosine cot A cot cotangent equation feet Find the angle Find the area Find the distance fourth quadrant Functions of Multiples geometry greater than 90 hypotenuse initial side interchanging letters inverse functions latitude Lehigh University log cos BA log cot log sin miles multiple of 90 Multiplying numerator Napier's rules negative numerator and denominator oblique angle observer's plane polar triangle positive Problems projection on XX projection on YY Prove quadrant OE OE radial distance radians radius ratio right angle right spherical triangle right triangle secant second quadrant Show side opposite sin A cos sin A sin sin-¹ sin² sine formula Solve spherical trigonometry tan² tangent terminal side third quadrant triangles OPD triedral angle trigonometric functions vertex whence ОР
Beliebte Passagen
Seite 61 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Seite 62 - B)' (51) 116. In any triangle, the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle.
Seite 68 - Construct a triangle, having given two sides and the angle opposite one of them (a, b, /A).
Seite 9 - A unit of plane angular measurement equal to the angle at the center of a circle subtended by an arc equal in length to the radius.
Seite 28 - ... foot of the post is 8° 32' 15". Calculate the height of the telegraph post and its distance from the observer. 13. A man in a balloon, when it is one mile high, finds the angle of depression of an object on the level ground to be 35° 20', then after ascending vertically and uniformly for 20 min., he finds the angle of depression of the same object to be 55° 40'. Find the rate of ascent of the balloon in miles per hour. 14. A man observes the elevation of a mountain top to be 15°, and after...
Seite 55 - The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor.
Seite 46 - CD is drawn from the vertex of the right angle to the middle point of AB, angle ACD equals 60°.
Seite 28 - What is the height of a flagpole if at a horizontal distance of 200 feet from the foot of the pole the angle of elevation of its top is 19° 28