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In the figure below Triangle ABC is a right triangle with angle B = 900. Each of the sides AB = BC = 6 units. Find the area of the red square Hint: Use the concept of similar triangles to solve the problem Click for solution to Question of Day – Sep 15th solution

Posted in: *Area, Geometry, Right Triangles, SAT, SAT Questions, Triangles*

*September 12, 2014*

In the figure below, ABCD is a square with sides 20 units. The four shaded leaves are formed by circles whose diameter is 20 units. Find the area of the 4 shaded leaves? Click for solution to SAT Question of Day

Posted in: *Area, Circle, Geometry, SAT Questions, Squares*

*September 8, 2014*

Problem 1: The second, third and fourth terms in the expansion (x+a)n are 240, 720 and 1080 respectively. Find the values of x, a and n Problem 2: The sum of coefficients of the first three terms in the expansion below is 559. Also x ≠ 0 and m is a natural number. Find the term containing […]

Posted in: *Binomial theorem, General Term*

*September 4, 2014*

1. Expand (1-2x)5 using the binomial theorem 2. Find the coefficient of x5 in the expansion (x+3)8 Things to Remember: Binomial Theorem: (r+1)th Term in the Expansion: Combination Formula: Click for solution to Problem 1 and 2

Posted in: *Binomial theorem, General Term*

*August 28, 2014*

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

*August 25, 2014*

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 – […]

*August 16, 2014*

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 […]

Posted in: *Permutation and Combination, probability*

September 15, 20140