The value of cos-4-cos-12-sin-12 i-

The correct option is A 12cosπ4×(cosπ12 sinπ12) =cosπ4cosπ12 sinπ12cosπ4 =cosπ4cosπ12 sinπ12sinπ4 =cos(π12+π4) =cosπ3=12 ...

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Trigonometric Ratios of Multiples of an Angle

The value of ...

Question

The value of $cos \frac{π}{4} \times (cos \frac{π}{12} - sin \frac{π}{12})$ is

\frac{1}{2}

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- \frac{1}{2}

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\frac{1}{\sqrt{2}}

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\frac{\sqrt{3}}{2}

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cos \frac{π}{12} (sin \frac{5 π}{12} + cos \frac{π}{4}) + sin \frac{π}{12} (cos \frac{5 π}{12} - sin \frac{π}{4})

cos \frac{π}{12} (sin \frac{5 π}{12} + cos \frac{π}{4}) + sin \frac{π}{12} (cos \frac{5 π}{12} - sin \frac{π}{4})

(c o s \frac{π}{8} + i s i n \frac{π}{8}) \times (c o s \frac{π}{12} + i s i n \frac{π}{12}) \times (c o s \frac{π}{24} + i s i n \frac{π}{24}) \times (c o s \frac{π}{4} + i s i n \frac{π}{4})

cos \frac{π}{12} - sin \frac{π}{12} = \frac{1}{\sqrt{2}}

cos \frac{π}{2^{2}} \cdot cos \frac{π}{2^{3}} \cdot . . . \cdot cos \frac{π}{2^{10}} \cdot sin \frac{π}{2^{10}}

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