## Plane Trigonometry and Tables |

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acute angle angle of elevation antilogarithm applications base called changes characteristic circle colog column computation considered cos x cosine cot log cotx course decimal departure diameter difference distance divided division equal equation example Exercise Express figure Find the area Find the length Find the value formula four fraction functions given graph ground height Hence horizontal hypotenuse included increases interpolation latitude log cos log log cot log sin log log tan logarithm mantissa means measure minutes multiply negative observed opposite Page places plane positive practical problems Prove quadrant radians radius reached regular relations respectively result right triangle roots seen Show shown sides significant figures sin x sine solution Solve square subtends subtract taken tan x tangent trigonometry unit write

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Page 109 - EXERCI8E XII. 1. What do the formulas of § 36 become when one of the angles is a right angle ? 2. Prove by means of the Law of Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.

Page 52 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.

Page 44 - 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 108 - The sides of a triangle are proportional to the sines of the opposite angles.

Page 57 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 151 - 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).

Page 41 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.

Page 128 - I label the two new points e and /." FIG. 2 With the help of this figure he then proceeds to the usual proof of the theorem that the area of a parallelogram is equal to the product of the base by the altitude, establishing the equality of certain lines and angles and the congruence of the pair of triangles.

Page 69 - From the top of a hill the angles of depression of two objects situated in the...

Page 3 - The logarithm of the reciprocal of a number is called the Cologarithm of the number.