eकी जी fd ABa DLa?’) (oo % g 5 {/b

1.	eकी जी fd ABa DLa?’) (oo % g 5 {/b
Answer» y= (1+cos(x))/sin(x) = (1 + cos(x)) * (sin(x))^-1 Using the multiplication rule for derivatives: dy/dx = -sin(x)/sin(x) - (1+cos(x))/sin^2(x) * cos(x) = -1 - (cos(x) + cos^2(x))/(1 - cos^2(X)) = -(1 - cos^2(x) + cos(x) + cos^2(X))/((1 + cos(x))(1 - cos(x))) = -(1 + cos(x))/((1 + cos(x))(1 - cos(x))) = -1/(1 - cos(x)) = 1/(cos(x) - 1)

Answer»

y= (1+cos(x))/sin(x) = (1 + cos(x)) * (sin(x))^-1

Using the multiplication rule for derivatives:

dy/dx = -sin(x)/sin(x) - (1+cos(x))/sin^2(x) * cos(x)

= -1 - (cos(x) + cos^2(x))/(1 - cos^2(X))

= -(1 - cos^2(x) + cos(x) + cos^2(X))/((1 + cos(x))(1 - cos(x)))

= -(1 + cos(x))/((1 + cos(x))(1 - cos(x)))

= -1/(1 - cos(x)) = 1/(cos(x) - 1)

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