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साबित करें कि `cos 18^(@) - sin18^(@) = sqrt(2) sin 27^(@)`

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साबित करें कि `cos 18^(@) - sin18^(@) = sqrt(2) sin 27^(@)`
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बायाँ पक्ष `=cos 18^(@)-sin18^(@)= cos 18^(@) -sin(90^(@) - 72^(@))`
`= cos 18^(@) - cos 72^(@) = 2 sin .(18^(@)+72^(@))/(2)sin.(72^(@)-18^(@))/(2)`
`=2 sin 45^(@) sin 27^(@) = 2 (1)/(sqrt(2)) sin27^(@) = sqrt(2) sin 27^(@)`
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