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find the value of `sin 27^(@)-cos27^(@)`?

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find the value of `sin 27^(@)-cos27^(@)`?
A. `-(sqrt(3-sqrt(3)))/(2)`
B. `-(sqrt(5-sqrt(5)))/(2)`
C. `-(sqrt(5)-1)/(2sqrt(2))`
D. none of these.
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1 Answer

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Correct Answer - B
`sin27^(@)-sin63^(@)=-2cos45^(@)sin18^(@)`
`=-sqrt(2)((sqrt(3)-1)/(4))=-(sqrt(3)-1)/(2sqrt(2))=-(sqrt(3-sqrt(5))/(2)`
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