Home
Class 11
PHYSICS
If x=a(theta+sintheta) and y=a(1-costhet...

If `x=a(theta+sintheta)` and `y=a(1-costheta)`, find `dy//dx`.

Text Solution

AI Generated Solution

To find \( \frac{dy}{dx} \) given the equations \( x = a(\theta + \sin \theta) \) and \( y = a(1 - \cos \theta) \), we will follow these steps: ### Step 1: Differentiate \( x \) with respect to \( \theta \) Given: \[ x = a(\theta + \sin \theta) \] ...
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.5|2 Videos

  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.6|20 Videos

  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.3|2 Videos

  • ARCHIVES 2 VOLUME 6

    CENGAGE PHYSICS|Exercise Integer|4 Videos

  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Solved Example|13 Videos

Similar Questions

Explore conceptually related problems

If y=a(theta+sintheta),x=a(1-costheta)," then "(dy)/(dx)=

If x=theta-sintheta" and "y=1-costheta," then "(d^(2)y)/(dx^(2))=

Find (dy)/(dx) if x=a(theta-sintheta) and y=a(1-costheta) .

if x = a(theta-sintheta), y=(1+costheta) , then (dy)/(dx) is equal to

If x=theta-sinthetaandy=1-costheta,"find"(dy)/(dx)" at "theta=(pi)/(2)

Find the slopes of the tangent and the normal to the curve x=a(theta-sintheta),\ \ y=a(1-costheta) at theta=pi//2

Find the slopes of the tangent and the normal to the curve x=a(theta-sintheta) , y=a(1+costheta) at theta=-pi//2

If x=k(theta+sintheta) and y=k(1+costheta) . then what is the derivative of y with respect to x at theta=pi//2 ?