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### Continguts

 Angles Measurement of Angles ix The Trigonometric Functions 8 Examples 14 Graphic representation of functions 22 Functions of any AngleInverse 29 Inverse functions 35 Laws of logarithms 42 Cologarithms 49
 Triangles 72 Ambiguous case 78 Applications 84 Miscellaneous 92 Logarithmic series 99 Hyperbolic functions 109 PAGE 112 Right spherical triangles 123

 PAUK 51 Examples 59 Trigonometric equations and identities 66
 Solution of Spherical Triangles 129 Species 135 Copyright

### Passatges populars

Pŕgina 3 - JT.axis toward the right. The sign and magnitude of the angle will determine the position of the terminal line, causing it to coincide with one of the axes or to fall in one of the quadrants. An angle is said to be of the first, second, third, or fourth. quadrant according as its terminal line falls in that quadrant. While the acute angle is of the first quadrant, the converse is by no means necessarily true. The terminal line of every angle, however large, must coincide with the terminal line of...
Pŕgina 72 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Pŕgina 44 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pŕgina 6 - What is the measure of a ton when a weight of 10 stone is the unit ? (4) The length of an Atlantic cable is 2300 miles and the length of the cable from England to France is 21 miles. Express the length of the first in terms of the second as unit.
Pŕgina 125 - Rules are . (1) The sine of the middle part equals the product of the tangents of the adjacent parts.
Pŕgina 129 - Having given two sides and the included angle, or two angles and the included side.
Pŕgina 11 - Also sin2 A is an abbreviation for (sin A)2, ie, for (sin A) x (sin A). Such abbreviations are used for convenience. 14. The Trigonometric Functions are always the Same for the Same Angle. — Let BAD be any angle; in AD take P, P', any two points, and draw PC, P'C
Pŕgina 5 - It is based on the fact that for a given angle the ratio of the length of its arc to the length of the radius...
Pŕgina 117 - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.
Pŕgina 4 - O or small, be divided into 360 equal arcs, each arc is called a degree. The degree is divided into 60 minutes, and the minute into 60 seconds. The length of a degree, minute, or second, depends on the size of the circle.