## Elements of Trigonometry: With Tables |

### Other editions - View all

Elements of Trigonometry: With Tables (Classic Reprint) William Charles Brenke No preview available - 2017 |

Elements of Trigonometry: With Tables - Primary Source Edition William Charles Brenke No preview available - 2013 |

### Common terms and phrases

1+tan abscissa acute angle angle is taken angle of elevation antilog Check circle colog cologarithm column common logarithm complex number cos² cosec cot² cotangent denote distance equal Example Exercises figure formulas fraction Given two sides Graphic Solution Hence hour angle included angle initial line law of sines law of tangents length lies log cos 20 log cot 29 log cot x log csc log sec log sin 20 log sin 58 log tan 29 log tan 67 logarithmic calculation logio mantissa of log minutes of arc multiple negative nth roots oblique triangle obtain log opposite angle ordinate plane triangle Prop quadrant radian measure radius right triangle rule sec² Show sin b sin sin² sin³ Solve the triangles spherical subtended tabular logarithms tan² terminal line Trigonometric Functions vector x-component

### Popular passages

Page 66 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...

Page 70 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.

Page 101 - In a spherical triangle the cosine of any side is equal to the product of the cosines of the other two sides plus the product of the sines of these two sides and the cosine of their included angle.

Page 67 - Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference of the opposite angles is to the tangent of half their sum.

Page 97 - The area of a spherical triangle is to the area of the surface of the sphere as the number which expresses its spherical excess is to 720.

Page 101 - sin В sin C' sin С sin A cos a = cos b cos с + sin 6 sin с cos A, with similar formulae for cos b and cos c. cos A = — cos В cos С + sin В sin С cos a, with similar formulae for cos В and cos C.

Page 13 - Cologarithms.* The cologarithm of a number is the logarithm of the reciprocal of the number.

Page 2 - The ratio of the side opposite the angle to the hypotenuse is merely one of six possible ratios which may be formed from the three sides of any right triangle.

Page 66 - The law of cosines states that in any triangle the square of any side equals the sum of the squares of the other two sides minus twice their product multiplied by the cosine of the angle between them.

Page 20 - Equation 3, we see that an angle of 1 rad is the angle subtended at the center of a circle by an arc equal in length to the radius of the circle (see Figure 2).