## Sum of finite Cosine Series

In the previous topic we discussed about the method of getting the sum of finite sine series. Now we will extend our learning to cosines. In this topic I will give a three simple...

## Sum of Finite Sine Series

In trigonometry, it is easy to find the sum of finite series of sine of angles using our heroic calculator. What about if we are ask to find an expression to represent such series?...

## Olympiad Math: Problem of the Week (December 14 – December 21, 2013)

Weird subsets How many subsets in {m,a,t,h,b,l,o,g,s}  have at least one vowel?   Comment your answer below.  Note: I am the only one who can see your comments. You are only allowed to...

## Stunning Algebra: Problem of the Week (December 14 – December 21, 2013)

Perfect square How many possible value of x in the set of  {1,2,3,…,1000} such that the expression     is a perfect square? Comment your answer below.  Note: I am the only one who...

## Freehand Geometry: Problem of the Week (December 14 – December 21, 2013)

Triangles in a triangle Triangle ABC is a right triangle with right angle at B. The legs are of length 15 and 8. Point D is on the hypotenuse of the triangle such...

## Painless Trigonometry: (December 14 – December 21, 2013)

Sum of tangents Given: Find the value of  Comment your answer below.  Note: I am the only one who can see your comments. You are only allowed to comment your answer once. Comments...

## Painless Trigonometry: (December 7 – December 14, 2013)

Square of a Sine What is the sum of sin21+sin22 +. . .+sin289 ?   Comment your answer below. Note: I am the only one who can see your comments. You are only...

## Stunning Algebra: (December 7 – December 14, 2013)

Prime Roots The x-intercepts of the equation y=x2-30x+k are prime numbers. What is/are the value(s) of K?   Comment your answer below. Note: I am the only one who can see your comments....