7sin^2 theta -22 sin theta +3 =0

let sin@=x

therefore,

7x^2-22x+3=0

7x^2-21x-x+3=0

7x(x-3)-1(x-3)=0

(x-3)(7x-1)=0

x=3 or x=1/7

sin@= 3 or sin@=1/7

sin@=3 is not valid for real theta

therefore @=sin^-1 1/7

@=8.21 degrees

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