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When dealing with a right angled triangle trigonometric functions can be defined by :-

cos x = adjacent/hypotenuse

sin x = opposite/hypotenuse

Therefore cos x/sin x = adj/hyp ÷ opp/hyp = adj/hyp x hyp/opp = adj/opp

The tangent of an angle is given by the formula : opposite/adjacent

The tangent of the complementary angle is therefore : adjacent/opposite

Then cos x/sin x = tan(90-x)

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Q: What is the derivative of cosx divided by sinx?
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