If x= cos^2(tan^-1(sin(cot^-1 3))) then 1331 x^3 - 3630 x^2 + 3300x + 7369 is equal to? [Ans. 8369]... How??

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Please find below the solution to the asked query:

We havex=cos2tan-1sincot-13cot-13=AcotA=3cotA=basebperpendicularp=31sinA=pp2+b2=19+1=110A=sin-1110x=cos2tan-1sincot-13=cos2tan-1sinsin-1110=cos2tan-1110tan-1110=BtanB=110=pbcosB=bp2+b2=1010+1=1011B=cos-11011cos2tan-1110=coscos-110112=10112x=1011Hence1331x3-3630x2+3300x+7369=1331×10001331-3630×100121+3300×1011+7369=1000-3000+3000+7369=8369 Answer

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