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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 25,028

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.

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