Home
Class 12
MATHS
If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx...

If `y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+\ ddotto\ oo))))` , prove that `(dy)/(dx)=((1+y)cosx+ysinx)/(1+2y+cosx-sinx)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise EXAMPLE|3 Videos
  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise SOLVED EXAMPLES|7 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+ tooo)))),p rov et h a t(dy)/(dx)=((1+y)cosx+ysinx)/(1+2y+cosx-sinx)

Prove that (cosx)/(1-sinx)=(1+cosx+sinx)/(1+cosx-sinx)

If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+\ dotto\ oo))) , prove that (dy)/(dx)=(sinx)/(1-2y) .

If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+\ dotto\ oo))) , prove that (dy)/(dx)=(cosx)/(2y-1)

If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+\ dotto\ oo))) , prove that (dy)/(dx)=(cosx)/(2y-1)

If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+\ dotto\ oo))) , prove that (dy)/(dx)=(cosx)/(2y-1)

d/dx((1-cosx)/sinx)=

d/dx((1-cosx)/sinx)=

tan^-1((1+cosx)/(sinx))

Prove that (1-sinx)/(cosx)=(cosx)/(1+sinx)