$c o s^{2} 48^{0} - s i n^{2} 12^{0}$ =

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Solution

The correct option is B

$c o s^{2} A - s i n^{2} B$ = cos(A + B).cos(A - B)

∴ $c o s^{2} 48^{0} - s i n^{2} 12^{0} = c o s 60^{0} . c o s 36^{0}$

= $\frac{1}{2}$ $(\frac{\sqrt{5} + 1}{4})$ = $\frac{\sqrt{5} + 1}{8}$ .

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