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Keeping the origin constant axes are rot...

Keeping the origin constant axes are rotated at an angle `30^@` in clockwise direction, then coordinates of (2,1) with respect to old axes is :

Text Solution

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`x=rcosalpha`
`y=rsinalpha`
`x'=rcos(alpha+theta)`
`y'=rsin(alpha+theta)`
`x'=r(cosalphacostheta-sinalphasintheta)`
`x'=rcosalphacostheta-rsinalphasintheta)`
`x'=xcostheta-ysintheta`
`x'=2*sqrt3/2-1*1/2=sqrt3-1/2=(2sqrt3-1)/2`
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