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Prove that 2sin((5pi)/12)cos(pi/12)=(2+s...

Prove that `2sin((5pi)/12)cos(pi/12)=(2+sqrt3)/2`

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`2 sin 5π/12 cos π/12 = (√3 + 2)/2 `
On using the formula,
`2 sin A cos B = sin (A + B) + sin (A – B) `
`2 sin 5π/12 cos π/12 = sin (5π/12 + π/12) + sin (5π/12 – π/12)`
`= sin (6π/12) + sin (4π/12)`
` = sin (π/2) + sin (π/3) `
`= sin (180°/2) + sin (180°/3)`
= `sin 90° + sin 60°` ...
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