Math, asked by ritikajaiswal16, 3 months ago

please answer it fast. Dont send spam answers​

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Answers

Answered by adhirajsinghbrar2005
1

Answer:

{\frac{\sqrt[]{2} }{4} }

Step-by-step explanation:

The π is the value of the angle in radians* and π  radians is equal to 180 degree therefore (sin  π/8)(cos  π/8) =  (sin  22.5)(cos  22.5)

We know :

sin (22.5) = \frac{\sqrt{2-\sqrt{2} } }{2} \\ \\ cos (22.5) = \frac{\sqrt{2+\sqrt{2} } }{2}

Therefore (sin  22.5)(cos  22.5) =( Root 2 ) /4

That is :

{\frac{\sqrt[]{2} }{4} }\\ is the answer ;)

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