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Trigonometry

Electronic Textbooks

Trigonometry Refresher  The Humongous Book of Trigonometry Problems  103 Trigonometry Problems  Trigonometry  Schaum's Outline of Trigonometry, 4ed

 

Paperback Textbooks (New and Used)

 Trigonometry   Schaum's Outline of Trigonometry, 5th Edition  Trigonometry Student Solutions Manual  103 Trigonometry Problems: From the Training of the USA Imo Team

 

Examples
  Trigonometric Equations: Solve the equation, 2sinθ - sinθ = 0
                         
 This is a Quadratic Equation as in 2x - x = 0 
                                        By factorization, Sinθ(2sinθ - 1) = 0
                                                So, sinθ = 0 and 2sinθ - 1 = 0 
                                                When sinθ = 0, angle θ = 0, 180 and 360 
                                                      Also, for 2sinθ - 1 = 0
                                                             sinθ = 0.5. Angle θ = 30 and 150

              Answer: Solutions of θ are 0, 30, 150, 180 and 360

Polar Equations: Find the Polar Equation of the Circle whose Cartesian Equation is x + y = 4x.

             If x = rcosθ and y = rsinθ
        then rcosθ + rsinθ = 4rcosθ 
               r(cosθ + sinθ) = 4rcosθ 
                     Therefore, r = 4rcosθ 
                                      r = 4cosθ

                 
Polar Equation is 
r = 4cosθ

Mathematics eBooks

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