Find the value of cos-12 sin5-12-cos-4 -sin-12 cos5-12-sin-4

nbsp;cos nbsp;π nbsp;/ 12 ( sin nbsp; 5π nbsp;/ 12 +cos nbsp;π nbsp;/ 4 nbsp;) +sin nbsp;π nbsp;/ 12 ( cos nbsp; 5π nbsp;/ 12 sin ...

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Question

Find the value of $cos \frac{π}{12} (sin \frac{5 π}{12} + cos \frac{π}{4}) + sin \frac{π}{12} (cos \frac{5 π}{12} - sin \frac{π}{4})$

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

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

cos{π/4 - x}cos{π/4 - y} - sin{π/4 - x}sin{π/4 - y} = sin(x+y)

Write the value of $s i n \frac{π}{12} s i n \frac{5 π}{12}$

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