Home
Class 12
MATHS
Write the derivative of sinx w.r.t. cosx...

Write the derivative of `sinx` w.r.t. `cosxdot`

Text Solution

Verified by Experts

We know that `dy/dz` can be written as `dy/dz = (dy/dx) / (dz/dx)`.
So. here,` y=sinx` and `z = cosx`.
`:. dy/dx = cosx `
` dz/dx = -sinx `
`:.dy/dz = (dy/dx) / (dz/dx) = cosx/(-sinx)= -cotx`
...
Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

The derivative of sinx^(3) w.r.t. cosx^(3) is

Derivative of sinx^(3) w.r.t. x is :

Find derivative of log x w.r.t.to x

Find derivative of sin(ax+b) w.r.t.to x

Find the derivative of cos^(-1)(sinx) w.r.t. to x

The derivative of sin (x^(3)) w.r.t. cos(x^(3)) is

Find the derivative of 7^(x) w.r.t x^(7).

Find derivative of cos(sin x) w.r.t.to x

Find derivative of sin(x^(2)) w.r.t.to x

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Solve for x: 2tan^(-1)(cosx)=tan^(-1)(2cos e cx)

    Text Solution

    |

  2. Using differentials, find the approximate value of (3. 968)^(3/2)

    Text Solution

    |

  3. Write the derivative of sinx w.r.t. cosxdot

    Text Solution

    |

  4. Find : int(sin^2x-cos^2x)/(sin^2xcos^2x)dx

    Text Solution

    |

  5. Write a vector in the direction of the vector hat i-2 hat j+2 hat k t...

    Text Solution

    |

  6. Write the distance of a point P(a ,b ,c) from x-axis.

    Text Solution

    |

  7. If, [xdoty4z+6x+y]=[8w0 6], write the value of (x+y+z)dot

    Text Solution

    |

  8. Write the principal value of cos^(-1)[cos(680^@)]

    Text Solution

    |

  9. Let R be the equivalence relation in the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5}...

    Text Solution

    |

  10. Write a x2x matrix which is both symmetric and skew-symmetric.

    Text Solution

    |

  11. Write the projection of the vector 2 hat i- hat j+ hat k on the vector...

    Text Solution

    |

  12. int[x+3]/sqrt[5-4x-x^2].dx

    Text Solution

    |

  13. Evaluate : int0^(pi/2)x^2sinxdx

    Text Solution

    |

  14. If the three vectors veca, vecb , vecc are coplanar, prove that the ve...

    Text Solution

    |

  15. If vec a=2 hat i-3 hat j+ hat k , hat b=- hat i+ hat k , vec c=2 hat ...

    Text Solution

    |

  16. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))...

    Text Solution

    |

  17. If x=a(cost+tsint)a n d y=a (sin t - t cos t), then find the value of ...

    Text Solution

    |

  18. If (x-y)dote^(x/(x-y))=a , Prove that y(dy)/(dx)+x=2ydot

    Text Solution

    |

  19. Using properties of determinants, prove the following : |[a, a^2,bc]...

    Text Solution

    |

  20. Write the value of the determinant |[p,p+1],[p-1,p]| .

    Text Solution

    |