Plane Trigonometry |
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Common terms and phrases
6a Formulae abscissa acute angle addition formulae angle of elevation angle opposite Chapter circumscribed circle common logarithm Construct the graphs corresponding cos² cosec derive Determine the height directed line distance draw a line Example exponent expressed feet Figure following angles following theorem given angle half-angle formulae Hence horizontal hypotenuse included angle initial side inverse functions inverse sine function INVERSE TRIGONOMETRIC FUNCTIONS LAW OF COSINES law of sines law of tangents lighthouse loga mantissa means of logarithms method MISCELLANEOUS EXERCISES Mollweide's equations negative odd function ordinate perpendicular plane problem projections Prove radian right triangle sec² secant segment sides and angles sin² sine and cosine single-valued solution Solve the equation standard position subtraction formulae table of logarithms tan² terminal side tion triangle ABC trigonometric equation trigonometric ratios variable vertical virtue of Theorem X-axis Y-axis y-coördinate measures
Popular passages
Page 57 - The sine of the sum of two angles is equal to the sine of the first times the cosine of the second, plus the cosine of the first times the sine of the second.
Page 68 - Having given two sides of a triangle and an angle opposite one of them, to describe the triangle.
Page 22 - The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Page 66 - AN OBLIQUE TRIANGLE 83. I. Given two sides and the included angle, to find the area of a triangle, use the rule : The area of a triangle equals one half the product of any two sides multiplied by the sine of the angle included by these sides. For let the given sides be a and c.
Page 74 - If the square of one side of a triangle is equal to the sum of the squares of the other two sides, the triangle is a right triangle.
Page 65 - Prove that the sines of the angles of a triangle are proportional to the opposite sides.
Page 74 - In the form in which they are here given, these formulae enable us to calculate the third side of a triangle of which two sides and the included angle are known.
Page 22 - The logarithm of a power of a number is the exponent of the power multiplied by the logarithm of the number.
Page iii - The opportunity afforded by the writing of a new text has been used to make some changes in the presentation of the traditional material. Circular measurement of angles is introduced in the first chapter so as to be available for use throughout the course. The fundamental theorems on projections are presented early and are used subsequently so that the student may be familiar with them when they are applied in a general proof of the addition theorems, based on a method quite generally, followed by...
Page 56 - Angle-sum and angle-difference relations sin (a + 0) = sin a cos 0 + cos a sin 0 sin (a - 0) = sin a cos 0 - cos a sin 0...