If x = square root of a^sin^-1t, y = square root of a^cos^-1t, then show that dy/dx = -y/x|#class12

#derivatives of Functions in
#parametricform Forms
Derivatives of Functions in Parametric Forms
Sometimes the relation between two variables is neither explicit nor implicit, but some
link of a third variable with each of the two variables, separately, establishes a relation
between the first two variables. In such a situation, we say that the relation between
them is expressed via a third variable. The third variable is called the parameter. More
precisely, a relation expressed between two variables x and y in the form
x = f(t), y = g (t) is said to be parametric form with t as a parameter.
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