Prove Cos π/7 – Cos 2π/7 + Cos 3π/7 = 1/2

August 28, 2014

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Prove the following Trigonometric identity:   Cos π/7 – Cos 2π/7 + Cos 3π/7 = 1/2 Hint: Use the various trigonometric identities including the product to sum formulas Trigonometric Identities – Problem 1

Trigonometric Equations – Double and Half Angles

August 25, 2014

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Solve the following Trigonometric equations using double and half angle formulas 1. Find the principle solutions for cos 2x + 2 sin x = 0 2. Find the principle solutions for sin2x = cos2(x/2) Things to Remember: Sum and Difference Forumlas: 1. Sin(X+Y) = SinX CosY + CosX Sin Y 2. Sin(X-Y) = SinX CosY – […]

Permutation and Combination Problems

August 16, 2014

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Solve the following problems: Problem 1: Given a deck of standard cards with 52 cards, find the following: How many ways can you draw 3 cards out of the 52 cards How many ways will the three cards be all aces? How many ways will the three cards be anything but aces? How many ways […]

Advanced Trigonometric Equations

August 10, 2014

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Solve the following trigonometric equations: 1. Find the solution for x in the equation 3 tan2x +5 sec x + 1 = 0 when 0<=x < 2π 2. Find the general and principle solutions for cos 3x + cos x – cos 2x = 0 3. Find the solution for cos x = sin x […]

Trigonometric Equations

August 4, 2014

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Solve the following Trigonometric Equations: 1. Find the principle and general solutions for sin x + 1 = 0 2. Find the principle and general solutions for tan2x – tan x = 0 3. Find the principle solutions to 6sin x (sin x -1) = 4 – sin x Click for solution to Problem 1 […]

Sine Function – Period, Amplitude and Transformations

July 31, 2014

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We all know that the all trigonometric functions are periodic functions i.e. the values of the functions repeat at regular intervals. Period: The range of values of x for which the function repeats itself. Amplitude: The range of the values of the functions divided by 2  i.e. (Max – Min)/2   Sine Function Below is a […]

Trigonometry Identities – Product to Sum Fromulas

July 27, 2014

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Prove the following Trigonometric Identities using “Product to Sum or Sum to Product Formulas”   Things to Remember:   Click for solution to Product to Sum – Problem 1 Click for solution to Product to Sum – Problem 2 and 3 Click for solution to Product to Sum – Problem 4

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