Home
Class 12
MATHS
x = "cos" theta - "cos" 2 theta, y = "si...

`x = "cos" theta - "cos" 2 theta, y = "sin" theta - "sin" 2 theta`

Text Solution

Verified by Experts

`x="cos" theta - "cos"2 theta`
`rArr (dx)/(d theta) = -"sin" theta + 2"sin" theta = 2"sin" 2 theta - "sin" theta`
`y = "sin" theta - "sin" 2theta`
`rArr (dy)/(d theta) = "cos" theta - 2 "cos" 2theta`
`therefore (dy)/(dx) = (dy//d theta)/(dx//d theta) = ("cos" theta - 2"cos" 2 theta)/(2"sin" 2 theta-"sin" theta)`
Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.7|17 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.8|6 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.5|18 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

Find (dy)/(dx) , " if x " = 2 cos theta - cos 2 theta and y = 2sin theta - sin 2 theta .

if x =2 cos theta - cos 2 theta y = 2 sin theta - sin 2 theta Find (d^(2)y)/(dx^(2)) at theta = pi/2

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.

If x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta, then (dy)/(dx) =

If x=2cos theta -cos 2theta ,y=2sin theta -sin 2theta ,then (dy)/(dx) =

If x = a cos theta - b sin theta and y = a sin theta + b cos theta, prove that x^2 + y^2 = a^2 + b^2.