## Plane and Spherical Trigonometry |

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abscissa algebraic sign angle of elevation angle XOP axis base CHAPTER circle colog cologarithm cos b cos cos² cotangent distance due east Earth equal equations Example exponent Find the value formulæ func Given the three Given two sides hypotenuse included angle integral digits Inverse Trigonometric Functions law of cosines law of sines less than 90 log cot log csc log sin loga mantissa minus Napier's analogies negative ordinate perpendicular polar triangle positive Prove quadrant radians radius relations result right angle right triangles sec² sin b sin sin² sin2 b sin² SOLUTION OF RIGHT Solve the following solve the triangle spherical triangle subtract system the logarithm tables tan-¹ tan² tanc tangent terminal side tion trigono trigonometric functions trigonometry Va² Whence write XOP₁ zero ОА ОР пп

### Popular passages

Page 73 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.

Page 98 - The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a _ sin b __ sin c _ sin A sin B sin C...

Page 107 - ... 1. Given the three sides, a, b, c. 2. Given the three angles, A, B, C. 3. Given two sides and the included angle, a, b, C. 4. Given two angles and the included side, A, B, c. 5. Given two sides and the angle opposite one of them, a, b,A.

Page 34 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.

Page 34 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 32 - ... consists of two parts, an integral part and a decimal part. The integral part is called the characteristic of the logarithm, and may be either positive or negative.

Page 37 - Cologarithms.* The cologarithm of a number is the logarithm of the reciprocal of the number.

Page 35 - The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. log» Np = p log

Page 120 - B = 79° 27' 83. Delambre's Analogies or Gauss's Equations. Using the law of cosines we may write . cos a — cos b cos с cos A — : — — . sin b sin с Whence 1 coa -1-2 3in...

Page 35 - The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root.