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\[\large (1 + \cot A - \csc A )(1 + \tan A + \sec A ) \]

If \(A\) can be any angle such that \(\sin A \cos A \ne 0 \), simplify the trigonometric expression above.

The half life period of a certain radioactive material is one hour. If the initial sample weighed \(500\text{ g}\), after how many hours will its mass be ...

If \(l\) and \(m\) are real and \(l \pm m > 0\), then the roots of the equation \((l-m)n^2 -5(l+m)n -2(l-m) = 0\) are ...

If one root of the equation \(x^2 + \alpha x + 12 = 0\) is \(4\) and the roots of the equation \(x^2 + \alpha x + \beta = 0\) are equal, then the ...

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