sin^2(θ)+4cosθ/sin(90-θ) -1/tan(90-θ)

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sin^2(θ)+4cosθ/sin(90-θ)-1/tan(90-θ)sin^2(θ)+4cosθ/sin(90-θ)-1/tan(90-θ)sin^2(θ)+4cosθ/sin(90-θ)-1/t

sin^2(θ)+4cosθ/sin(90-θ) -1/tan(90-θ)
sin^2(θ)+4cosθ/sin(90-θ) -1/tan(90-θ)

sin^2(θ)+4cosθ/sin(90-θ) -1/tan(90-θ)
[sin^2(θ)+4cosθ]/sin(90-θ)-1/tan(90-θ)
=[sin^2(θ)+4cosθ]/cos(θ)-1/cotθ
=[sin^2(θ)+4cosθ]/cos(θ)-sin(θ)/cosθ
=[sin^2(θ)-sinθ+4cosθ]/cosθ
={sin(θ)[sin(θ)-1]+4cosθ]/cosθ
=tanθ(sinθ-1)+4

sin^2(θ)+4cosθ/sin(90-θ) -1/tan(90-θ)
=sin^2θ+4cosθ/cosθ-1/cotθ
=sin^2θ+4-tanθ