## Plane and Spherical Trigonometry |

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### Common terms and phrases

abscissa acute angles angle a increases angle of depression angle of elevation angle terminating angles less angular velocity central angle check formula circle whose radius colog COMMON LOGARITHMS complex number computed Construct cos2 cosecant cot2 cota cotangent coterminal degrees distance equal esc2 feet Find the height Find the length find the value following angles functions of 30 fundamental relations given angles Hence hypotenuse inverse function isosceles triangle law of cosines law of tangents less than 360 line values Log Cot logc mantissa negative and decreases negative angles negative number ordinate positive and increases positive angle positive number Problem revolutions per minute right angle sec2 side adjacent side opposite sides are given sin2 sin3 sines and cosines solution spherical right triangle spherical triangle subtended tan2 tana tions trigono trigonometric func trigonometric functions trigonometric identities trigonometric ratios vers vertex

### Popular passages

Page 4 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log

Page 130 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.

Page 4 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.

Page 111 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.

Page 3 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.

Page 85 - B is negative, and BD — — a cos B. The substitution of this in (4) leads us again to (3). Thus we see that (3) is true in all cases. THE LAW OF COSINES. The square of any side .of a plane triangle is equal to the sum of the squares of the other two sides minus twice their product times the cosine of the included angle. This may be regarded as a generalization of the Pythagorean Theorem to which it reduces when the included angle is a right angle. These two laws are among the most important of...

Page 2 - If the number is greater than 1, the characteristic is one less than the number of places to the left of the decimal point.

Page 131 - By (150) and (152) we have cos a = cos b cos c -\- sin b sin c cos A, cos c = cos a cos b...

Page 31 - The product of all the lines, that can be drawn from one of the angles of a regular polygon of n sides, inscribed in a circle whose radius is a, to all the other angular points = no.

Page 111 - From the top of a cliff 150 ft. high the angles of depression of the top and bottom of a tower are 30° and 60°, respectively.