Plane Trigonometry |
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ABCD absolute value acute angle angle of depression angle of elevation base characteristic circle colog cologarithm computation cos(x cos² cos²x cosecant cosine cot log cotangent cotx decimal places degrees diagonal diameter divide equal equation example Exercise Find four angles Find log Find the antilogarithm Find the area Find the distance Find the height Find the length Find the number find the value fraction given the following graph Hence horizontal hypotenuse included angle inscribed interpolation Law of Cosines Law of Sines Law of Tangents log cos log log cot 9 log sin log logarithm longitude mantissa negative plane polygon positive quadrant radians radius right triangle roots secant secx sexagesimal ship sails sides sin log cos sin(x sin² sin²x Solve subtends subtract tabular difference tan²x tangent triangle ABC trigonometry whence
Popular passages
Page 52 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
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 42 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Page 108 - The sides of a triangle are proportional to the sines of the opposite angles.
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 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 112 - Two sides of a triangle, and the angle opposite one of them, being given, to describe the triangle. Let A and B be the given sides, and C the given angle.
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 117 - C = —; • abc 2 abc 12. From the Law of Cosines prove that the square on the side opposite an acute angle of a triangle is equal to the sum of the squares on the other two sides minus twice the product of either side and the projection of the other side upon it. 13. As in Ex. 12, consider the geometric proposition relating to the square on the side opposite an obtuse angle. 14. In the parallelogram ABCD, given AB = 4 in., AD = 5 in., and A = 38° 40', find the two diagonals. 15. In the parallelogram...
Page 44 - Rules : 1. The characteristic of the logarithm of a number greater than 1 is positive and is one less than the number of digits to the left of the decimal point.