Problems Involving GCD and LCM

April 25, 2015

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1. Find the greatest 6 digit number exactly divisible by 24, 15, and 36? 2. Find the smallest number which when divided by 35, 56 and 91 leaves a remainder of 7? 3. A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with square […]

Posted in: Algebra, GCD, LCM

Problems involving Finding GCD

April 18, 2015

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1.┬áThe length, breadth and height of a room are 8.25 m, 6.75 m and 4.50 m. Determine the longest scale that can measure the length of the three dimensions exactly? 2. 105 goats, 140 donkeys and 175 cows have to be taken across the river. There is only one boat which will have to make […]

Posted in: Algebra, GCD

Infinite Geometric Series

March 27, 2015

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Find the sum of the following series: Things to Remember: Sum of Infinite Geometric Series : a/(1-r) a = First Term of the sequence r = Ratio of Consecutive Terms Click for solution to Infinite GP Problems 1 and 2 for Blog

Trigonometry – Half Angle Problems

March 25, 2015

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Prove the following: Click for solution to Half angle problems 1 and 2 Click for solution to Half angle problems 3    

Prove the following Identities Using Half Angle Formulas

March 24, 2015

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Prove the following identities using half angle formulas: Click for solution to Half Angle – Problem 1 and 2

Trigonometry Problem

March 23, 2015

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Find the difference between Max and Min values of U2 if u is given below: Click for solution to the Trigonometry Problem    

Posted in: Trignometry

Trigonometry – Sum to Product Formulas

March 23, 2015

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Prove the following Trigonometric Identities Click for list of Trig Identities – Product to Sum Click for solution to Product to Sum Problem 1 to 2 Click for solution to Product to Sum Problem 3 to 4

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