Find the magnitude of angle $A$ , if :
$2 sin A cos A - cos A - 2 sin A + 1 = 0$

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Solution

$\begin{matrix} 2 sin A cos A - cos A - 2 sin A + 1 = 0 2 sin A (cos A - 1) - cos A + 1 = 0 2 sin A (cos A - 1) = cos A - 1 2 sin = 1 sin A = \frac{1}{2} sin A = sin 30^{0} A = 30^{0} \end{matrix}$
Therefore magnitude of angle is A is 30.

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