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Yes your answer is write.we should not multiply sin and cos

Sorry, I meant arctan(2+sqrt3)=75. It is pretty obvious anyway that theta is more than 45 degrees, since the value of sinθ is greater than the value of cosθ (sinθ=cosθ when theta=45, when 0<θ<45 then cosθ>sinθ and when 45<θ<90 it is cosθ<sinθ.

sinθ/cosθ= (sqrt3+1)/(sqrt3-1)

tanθ=(sqrt3+1)^2/2

tanθ=(4+2sqrt3)/2

tanθ=2+sqrt3

arctanθ=75, thus θ=75 degrees.

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