Home
Class 12
PHYSICS
If y=2sin^2theta+tantheta then (dy)/(dth...

If `y=2sin^2theta+tantheta` then `(dy)/(dtheta)` will be

A

`4sinthetacostheta+secthetatantheta`

B

`2sin2theta+sec^2theta`

C

`4sintheta+sec^2theta`

D

`2cos^2theta+sec^2theta`

Text Solution

Verified by Experts

The correct Answer is:
B
`y=2sin^2theta+tantheta`
`(dy)/(dtheta)=2xx2tanthetacostheta+sec^2theta`
`=2sin2theta+sec^2theta`
Promotional Banner

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Fill in the blanks type|26 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Comprehension Type|31 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|54 Videos

  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS|Exercise Integer|5 Videos

  • CENTRE OF MASS CONVERSATION OF MOMENTUM AND COLLISION

    CENGAGE PHYSICS|Exercise Question Bank|38 Videos

Similar Questions

Explore conceptually related problems

If y=2 sin^(2) tan theta then (dy)/(d theta) will be-

sec^2theta/tantheta=?

If x=cos theta-cos2 theta,y=sin theta-sin2 theta then (dy)/(dx) is

if x=sin theta+theta cos theta,y=cos theta-theta sin theta then ((dy)/(dx))_(theta=(pi)/(2))=

If x+3costheta=2cos^(3)theta,y+2sin^(3)theta=3sintheta," then "(dy)/(dx)=

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

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

If |{:(1+cos^2 theta, sin^2 theta, 2sqrt3tantheta),(cos^2 theta, 1+sin^2 theta, 2sqrt3tan theta),(cos^2 theta, sin^2 theta, 1+2sqrt3 tan theta):}| =0 then theta may be :

If x=2cos theta-3sin theta & y=2sin theta+3cos theta such that (dy)/(dx) at theta=(pi)/(4) is equal to (a)/(b) (where a & b are relatively prime),then |a+b| is equal to

CENGAGE PHYSICS-CENGAGE PHYSICS DPP-Single Correct Answer type
  1. Which of the following best represents the graph of velocity (v) versu...

    Text Solution

    |

  2. Differentiation of sin(x^2) w.r.t. x is

    Text Solution

    |

  3. If y=2sin^2theta+tantheta then (dy)/(dtheta) will be

    Text Solution

    |

  4. If y=sinx and x=3t then (dy)/(dt) will be

    Text Solution

    |

  5. If y=sin(t^2), then (d^2y)/(dt^2) will be

    Text Solution

    |

  6. The displace ment of a body at any time t after starting is given by s...

    Text Solution

    |

  7. if y=x^2sinx+(3x)/(tanx), then (dy)/(dx) will be

    Text Solution

    |

  8. The value of the function (x-1)(x-2)^2 at its maxima is

    Text Solution

    |

  9. The adjacent sides of a rectangle with given perimeter as 100 cm and e...

    Text Solution

    |

  10. The area of a rectangle will be maximum for the given perimeter, when ...

    Text Solution

    |

  11. if x+y=10, thent he maximum value of xy is

    Text Solution

    |

  12. the sum of two numbers is fixed. Then its multiplication is maximum, w...

    Text Solution

    |

  13. If sum of two numbers is 3, then maximum value of the product of first...

    Text Solution

    |

  14. If from a wire of length 36 metre a rectangle of greatest area is made...

    Text Solution

    |

  15. 20 is divided into two parts so that product of cube of one quantity a...

    Text Solution

    |

  16. x and y be two variables such that xgt0 and xy=1. Then the minimum val...

    Text Solution

    |

  17. Divide 20 into two parts such that the product of one part and the cub...

    Text Solution

    |

  18. The maximum and minimum values of x^3-18x^2+96x in interval (0,9) are

    Text Solution

    |

  19. The maximum values of sinx(1+cosx) will be at the

    Text Solution

    |

  20. The function f(x)=2x^3-3x^2-12x+4 has

    Text Solution

    |