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4(sin2 4^0+cos6^0)=sqrt(3)+sqrt(15)...

`4(sin2 4^0+cos6^0)=sqrt(3)+sqrt(15)`

Text Solution

Verified by Experts

`4(sin 24^(@)+cos6^(@))=4(sin24^(@)+sin84^(@))`
`=8 sin 54^(@)cos 30^(@)`
`=8xx(sqrt(5)+1)/(4)xxsqrt(3)/(2)`
`=sqrt(15)+sqrt(3)`
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