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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 equationtan²θ+sec2 θ=1.3. Solve the equationsinx-3sin2x+sin3x = cosx-3cos2x+cos3x4. Find all the solutions of4cos²xsinx - 2sin²x = 3sinx.5.If the expression
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