DifferentiationHard
Question
If x = cosecθ - sinθ ; y = cosecnθ - sinnθ, then (x2 + 4)
- n2y2 equals to
Options
A.n2
B.2n2
C.3n2
D.4n2
Solution
∴ x = cosec θ - sinθ
⇒ x2 + 4 = (cosecθ + sinθ)2
and y2 + 4 = (cosecnθ + sinnθ)2
Now

Squaring both sides, we get
or (x2 + 4)
= n2 (y2 + 4)
⇒ x2 + 4 = (cosecθ + sinθ)2
and y2 + 4 = (cosecnθ + sinnθ)2
Now
Squaring both sides, we get
or (x2 + 4)
Create a free account to view solution
View Solution FreeMore Differentiation Questions
Let f(x) be a polynomial in x. Then the second derivative of f(ex) w.r.t. x is...If x3 cos (xy) + y3 sin (xy) + 1 = 0, then dy/dx equals-...If f(x) = | (x - 4) (x - 5) |, then f¢(x) is equal to...If x3 + y3 = 3xy, then the value of dy/dx is-...Let ef(x) = ln x. If g(x) is the inverse function of f(x), then g′(x) equals to:...