question archive sin (pi/2 - x) = cos x (supplementary arc) ##cot (pi/2 + x) = (cos (pi/2 + x))/(sin (pi/2 + x)) = sin x/(-cos x)
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sin (pi/2 - x) = cos x (supplementary arc) ##cot (pi/2 + x) = (cos (pi/2 + x))/(sin (pi/2 + x)) = sin x/(-cos x).## The left side of the equation simplifies to: ##(cos x)(sin x/(-cos x)) = - sin x##, Then, the equation reduces to: -sin x = - sin x The equation is undefined. It is insolvable.