Given: x = csct and y = cott. Find y’.
y′=dydx=dydtdxdt==−csc2t−cottcsct=sect.y'=\frac{dy}{dx}=\frac{\frac{dy}{dt}}{\frac{dx}{dt}}=\frac{}{}=\frac{-\csc^2t}{-\cot t\csc t}=\sec t.y′=dxdy=dtdxdtdy==−cottcsct−csc2t=sect.
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