We have a series: tan(1)tan(2) + tan(2)tan(3) + … + tan(2019)tan(2020). What is its value?
Here is a summation problem involving trigonometric functions.
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Use digits 0 to 9 (or 1 to 9), each once and only once, to make a total of 100. You might have played this…
If a + b + c + d = 3s and all numbers are positive, show that (abcd)/81 is greater than or equal to the…
It is time to indulge in some Olympiad math! Let us look into one inequality problem. Do you have a mathematical question to ask? Do…
If a, b, a are the sides of a triangle with perimeter 2, show that a^2 + b^2 + c^2 + 2abc is less than…
Arithmetic mean is greater than or equal to Geometric mean. That is called AM – GM inequality. Here is a nice problem to show how…
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