Question 1046157
Given that x is an acute angle and cos x = m. Find tan (x + 90) in terms of m.
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tan(x+90) = -cot(x)
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cos(x) = m
{{{sin(x) = sqrt(1 - cos^2(x)) = sqrt(1 - m^2)}}}
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{{{-cot(x) = -cos(x)/sin(x) = -m/sqrt(1 - m^2)}}}
{{{tan(x + 90) = m*sqrt(1 - m^2)/(m^2-1)}}}