73. cos 28^° + cos 65^° +cos 115^° + cos 240^° +cos 280^° +cos300^° =

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cos 65^{\circ} + cos 115^{\circ} = 0

Evaluate

$(i) \frac{{sin}^{2} 63^{\circ} + {sin}^{2} 27^{\circ}}{{cos}^{2} 17^{\circ} + {cos}^{2} 73^{\circ}}$

$(i i) sin 25^{\circ} cos 65^{\circ} + cos 25^{\circ} sin 65^{\circ}$

1)

\frac{s i n^{2} 63^{o} + s i n^{2} 27^{o}}{c o s^{2} 17^{o} + c o s^{2} 73^{o}}

2)

s i n 25^{o} c o s 65^{o} + c o s 25^{o} s i n 65^{o}

\frac{{sin}^{2} 63^{\circ} + {sin}^{2} 27^{\circ}}{{cos}^{2} 17^{\circ} + {cos}^{2} 73^{\circ}}

sin 25^{\circ} cos 65^{\circ} + cos 25^{\circ} sin 65^{\circ}

\cos \frac{π}{65} \cos \frac{2 π}{65} \cos \frac{4 π}{65} \cos \frac{8 π}{65} \cos \frac{16 π}{65} \cos \frac{32 π}{65} = \frac{1}{64}

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