Home
Class 12
MATHS
If x sin (a+y) + sin a cos (a+y) = 0, th...

If x sin (a+y) + sin a cos (a+y) = 0, then prove that : `dy/dx = (sin^2(a+y))/(sina)`

Answer

Step by step text solution for If x sin (a+y) + sin a cos (a+y) = 0, then prove that : dy/dx = (sin^2(a+y))/(sina) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

If sin y = x sin (a + y), then prove that (dy)/(dx) = (sin^(2) (a + y))/(sin a) .

If cos y = x cos (a + y), then prove that (dy)/(dx) = (cos^2 (a + y))/(sin a)

If sin y = x cos (a + y) , prove that (dy)/(dx) = (cos^2 (a + y))/(cos a)

If x cos (a+y) = cos y, then prove that dy/dx = (cos^2(a+y))/(sina) Hence, show that sina(d^2y)/(dx^2)+ sin 2(a+y) (dy)/(dx) = 0

If y = x sin(a+y), prove that dy/dx = (sin^2(a+y))/(sin(a+y)-ycos(a+y))

If sin y=xsin(a+y) , prove that (dy)/(dx)=(sin^2(a+y))/(sina)(a+y)

If siny = xsin(a+y) , prove that dy/dx=sin^2(a+y)/sina

If cosy = xcos(a+y) , with cos a ne +-1 , prove that dy/dx = (cos^2(a+y))/sina

If y = x sin y, prove that x dy/dx = y/(1-x cosy)

If x cos (a + y)=cos y then prove that [dy/dx = cos^2 (a+ y) /sin a] . Hence show that [sin a (d^2y /dx^2) + sin 2(a+ y) dy/dx =0] .