Math, asked by rikam22, 9 months ago

what is the value of sin (5pi/12)​

Answers

Answered by 16Bhavya
18

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Answered by MasterKaatyaayana2
0

Answer:

0.9659258

Step-by-step explanation:

Formula Used :

i) sin(90 - Ф) = cos(Ф)

ii) cos (2Ф) = 2cos^2(Ф) - 1

We can write,

5\pi/12 = \pi/2 - \pi/12\\\implies sin(5\pi/12) = sin(\pi/2 - \pi/12) = cos (\pi/12)

cos (\pi/6) = \frac{\sqrt{3} }{2} = 2 cos^2(\pi/12) -1\\\implies \sqrt{\frac{ \sqrt{3}+2 }{4}}} = cos(\pi/12) \approx 0.9659258

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