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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 21,730

Problems from previous years' IIT Joint Entrance Examination (Indian Institute of Technology)

1. A circle is inscribed in an equilateral triangle of side 'a'. Find the area of the square inscribed in this circle.

2. Find the general value of θ satisfying the equation

tan²θ+sec2 θ=1.

3. Solve the equation

sinx-3sin2x+sin3x = cosx-3cos2x+cos3x

4. Find all the solutions of

4cos²xsinx - 2sin²x = 3sinx.

5.If the expression

is real, then find the set of all values of n.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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