Title:
Barron's E-Z trigonometry / Douglas Downing.
Author:
Downing, Douglas.
Downing, Douglas. Trigonometry, the easy way.
Publication Information:
Hauppauge, N.Y. : Barron's Educational Series, c2010.
Call Number:
QA531 .D683 2010
Abstract:
From the Publisher: This self-instruction book explains angles and triangles, and demonstrates the solutions to right triangle problems. Chapters that follow deal with trigonometric functions of sine, cosine, and tangent, radian measures, Pythagorean and other trigonometric identities, graphs of trigonometric functions, waves, polar coordinates, complex numbers, conic sections, spherical trigonometry, polynomial approximation for sin x and cos x, and more. Exercises follow every chapter with answers given at the back of the book. Barron's continues its ongoing project of updating, improving, and giving handsome new designs to its popular list of Easy Way titles, now re-named Barron's E-Z Series. The new cover designs reflect the books' brand-new page layouts, which feature extensive two-color treatment, a fresh, modern typeface, and more graphic material than ever. Charts, graphs, diagrams, instructive line illustrations, and where appropriate, amusing cartoons help to make learning E-Z. Barron's E-Z books are self-teaching manuals focused to improve students' grades across a wide array of academic and practical subjects. For most subjects, the skill level ranges between senior high school and college-101 standards. In addition to their self-teaching value, these books are also widely used as textbooks or textbook supplements in classroom settings. E-Z books review their subjects in detail, using both short quizzes and longer tests to help students gauge their learning progress. All exercises and tests come with answers. Subject heads and key phrases are set in a second color as an easy reference aid.
Edition:
[4th ed.].
ISBN:
9780764142512
Series:
E-Z
Physical Description:
vii, 352 p. : ill. ; 26 cm.
General Note:
Rev. ed. of: Trigonometry, the easy way. 3rd. ed. 2001.
Includes index.
Subject Term:
Contents:
Introduction -- 1: Angles And Triangles -- Rainstorm -- Measuring angles -- Raging river flood -- Triangles to the rescue -- Complete guide to triangles -- Notes to chapter 1 -- Exercises -- 2: Solving Right Triangle Problems -- Height of the tree -- Calculating heights with similar triangles -- New ski jump -- Shifting star -- Distance to the star -- Notes to chapter 2 -- Exercises -- 3: Trigonometric Functions: Sin, Cos, And Tan -- Too many triangles -- Germlin's vile threat -- Holiday lighting display -- 30-60-90 triangles -- Decorative adjustable triangle -- Sine ratio -- Tangent ratio -- Functions -- Definition of trigonometric functions -- Notes to chapter 3 -- Exercises -- 4: Applications Of Trigonometric Functions -- Balloon ride -- Velocity vectors -- Component vectors -- Off-course river boat -- Message-delivering system -- Distance of travel of the capsule -- Slippery slope -- Friction -- Maximum angle of tilt -- Merry-go-round streamers -- Centrifugal force -- Note chapter 4 -- Exercises -- 5: Radian Measure -- Recordis writes out the table -- Sin 90 degrees -- Sin 0 degrees -- Attack of the killer bees -- Measuring rotations -- Radian measure -- Special number [PI] -- Converting radians to degrees -- Coterminal angles -- Shifting sun -- Radius of the earth -- Trigonometric functions -- Cofunctions -- Cotangent function -- Reciprocal functions -- Secant and cosecant functions -- Notes to chapter 5 -- Exercises -- 6: Trigonometric Identities -- Pythagorean identities -- Addition rules -- Double-angle rules -- Trigonometric identities -- Note to chapter 6 -- Exercises -- 7: Law Of Cosines And Law Of Sines -- Triangle with the unknown parts -- Law of cosines -- Law of sines -- Exercises -- 8: Graphs Of Trigonometric Functions -- Bouncing wagon -- Periodic function -- Graph of the sine function -- Graph of the cosine function -- Graphs of the tangent and cotangent functions -- Graphs of the secant and cosecant functions -- Alternating current -- Amplitude -- Frequency -- Phase -- Solving an equation with a graphing calculator -- Exercises -- 9: Waves -- Waves on the lake -- Wavelength -- Harmonic waves -- Sound waves -- Adding sine functions of different frequencies -- Standing waves in guitar strings -- Music -- Threat of the terrible flood -- Note to chapter 9 -- Exercises -- 10: Inverse Trigonometric Functions -- Pal's pet pigeons to the rescue -- Inverse functions -- Arctan, arcsin, and arccos functions -- Principal values -- Graphs of inverse trigonometric functions -- Exercises -- 11: Polar Coordinates -- Pigeon messenger service -- Rectangular coordinates -- Polar coordinates -- Equations in polar coordinates -- Exercises -- 12: Complex Numbers -- Imaginary number i -- Properties of complex numbers -- Polar coordinate form of complex numbers -- Multiplying complex numbers -- Powers of complex numbers -- Roots of complex numbers -- Notes to chapter 12 -- Exercises -- 13: Coordinate Rotation And Conic Sections -- Peaceful bay town-planning problem -- Rotated coordinate systems -- New improved pigeon-aiming system -- Rotations in polar coordinates -- Rotations in rectangular coordinates -- Two-unknown quadratic equation -- Circles -- Ellipses -- Parabolas -- Hyperbolas -- Conic sections -- Translation of axes -- Pesky xy term -- Perplexing parabola with the tilted axis -- Rotated equation -- Solution of a second-degree two-unknown equation -- Graph of the tilted ellipse -- Discriminant -- Three-dimensional rotations and virtual reality -- Note to chapter 13 -- Exercises -- 14: Spherical Trigonometry -- Mysterious triangles and riddles -- Great circles and small circles -- Latitude and longitude -- Spherical triangles -- Spherical right triangles -- Sailing along the shortest course -- Law of sines and law of cosines -- Altitude of the sun at the beach -- Celestial sphere -- Lost assistant at the unknown latitude -- Solving spherical triangles -- Notes to chapter 14 -- Exercises -- 15: Polynomial Approximation For Sin X And Cos X -- Quest for the elusive algebraic expression -- Infinite-degree polynomial -- Factorial function -- Series representation of sin x and cos x -- Exercises -- Answers To Exercises -- Appendix -- Significant digits -- Computer spreadsheets -- Summary of trigonometric formulas -- Index.
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