## Plane and Spherical Trigonometry |

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9 L cos 9 L cot acute angles angle increases angle of elevation approaches becomes called circle coincide colog considered convenient corresponding cos a cos cos x cos2 cosecant cosh cosine cot 9 cotangent decreases definitions denominator determined difference distance divided draw employed equal equation example EXERCISE expression figures formulas four Given greater height Hence hypotenuse known legs length less limit logarithm magnitude manner means measured method minute negative Note object observation obtained opposite perpendicular plane positive problem Prove radians radius relations remaining respectively revolving line right angle right triangle satisfy secant sides similar sin x sine sinh solution Solve spherical triangle given Substituting subtended tangent third tion tower trigonometric functions values пп

### Popular passages

Page 3 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 3 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 132 - The sides of a triangle are proportional to the sines of the opposite angles.

Page 133 - That is : The ratio of any side of a triangle to the sine of the opposite angle is numerically equal to the diameter of the circumscribed circle.

Page 192 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.

Page 183 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...

Page 12 - 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.

Page 122 - Remember 1. sin (x — y) = sin x cos y — cos x sin y. 2.

Page 11 - Every circumference is regarded as being divided into 360 equal parts, called degrees. Each degree is divided into 60 equal parts, called minutes, and each minute into 60 seconds. These divisions are indicated by the marks ° ' ". Thus 28 degrees, 17 minutes, and 49 seconds, are written 28° 17

Page 3 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.