Question

Find the value of cos(π/12) . Please solve in your Notebook. ..!!

Answer 1

hey mate,,,,,,,
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the value of cos(π/12)=0.96
step

cos(15)


0.96
hope it will help you ✨✨✨✨

Answer 2

$\cos( \frac{\pi}{12} ) = \cos( \frac{180}{12} ) \\ \cos(15) = \cos(45 - 30) \\ using \: the \: formula \\ \cos(a - b) = \cos(a) \cos(b ) + \sin(a) \sin(b) \\ a = 45 \\ b = 30 \\ \cos(15) = cos45 \times cos30 + sin45 \times sin30 \\ = \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} + \frac{1}{ \sqrt{2} } \times \frac{1}{2} \\ \frac{ \sqrt{3 } + 1 }{2 \sqrt{2} } = \cos(15)$