Home
Class 12
MATHS
Prove that y = frac {4 sintheta}{2+ cost...

Prove that y = `frac {4 sintheta}{2+ costheta}` `-` `theta` is an increasing function of
`theta` `in` [0, `frac{pi}{2}`]

Promotional Banner

Topper's Solved these Questions

  • Applications of Derivatives

    CHETANA PUBLICATION|Exercise Exercise|144 Videos

  • APPLICATION OF DEFINITE INTEGRATION

    CHETANA PUBLICATION|Exercise EXERCISE|80 Videos

  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

Prove that (frac(sintheta-2sin^3theta)(2cos^3theta-costheta))=tantheta

Prove the following: (frac(sintheta)(1+costheta))=tan(theta/2)

Prove that (frac(1-tantheta)(1-cottheta))^2=tan^2 theta

Show that the function f(x) = frac {4x^3 +1 }{x} is a decreasing function in the interval (frac{1}{4}, frac{1}{2})

Prove the following: tan^-1(frac{costheta+sintheta}{costheta-sintheta}) =frac {pi}{4}+theta if theta belongs to (-frac{pi}{4},frac{pi}{4})

If sintheta=sqrt(3)costheta,-pi < theta < 0 , then the value of theta is

If x = e^theta (sin theta - cos theta ), y = e^theta (cos theta + sin theta ), then frac{dy}{dx} at theta = frac {pi}{4} is .......... (a) -1 (b) 1 (c) 1/2 (d) -1/2

If 2sin^(2)theta=3costheta , where 0lethetale2pi , then find the value of theta .

If sintheta+ costheta=1 , then find the general value of theta .

If frac{3+isintheta}{4-icostheta}, theta in [0,2pi] , is a real number, then an argument of sintheta+icostheta is

CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Prove that y = frac {4 sintheta}{2+ costheta} - theta is an increasing...

    Text Solution

    |

  2. Find the equation of tangent and normal to the curve at the given poin...

    Text Solution

    |

  3. Find the equation of tangent and normal to the curve at the given poin...

    Text Solution

    |

  4. Find the equation of tangent and normal to the curve at the given poin...

    Text Solution

    |

  5. Find the points on the curve given by y= x^3 - 6x^2 + x + 3, where the...

    Text Solution

    |

  6. A stone is dropped into a quiet lake and waves in the form of circles ...

    Text Solution

    |

  7. The volume of the spherical ball is increasing at the rate of 4pi cc/s...

    Text Solution

    |

  8. Water is being poured at the rate of the 36 m^3/sec into a cylindrical...

    Text Solution

    |

  9. A man of height 180 cm is moving away from a lamp post at the rate of ...

    Text Solution

    |

  10. A man of height 180 cm is moving away from a lamp post at the rate of ...

    Text Solution

    |

  11. A car is moving in such a way that the distance it covers, is given by...

    Text Solution

    |

  12. The displacement of a particle at time t is given by s= 2t^3 - 5t^2 + ...

    Text Solution

    |

  13. Find the approximate value of sqrt 64.1

    Text Solution

    |

  14. Find the approximate value of 3.98^3

    Text Solution

    |

  15. Find the approximate value of sin(30^o 30'). Given that 1^o = 0.0175^c...

    Text Solution

    |

  16. Find the approximate value of tan^(-1) (0.99), Given that pi = 3.1416

    Text Solution

    |

  17. Find the approximate value of e^(1.005), Given that e = 2.7183

    Text Solution

    |

  18. Find the approximate value of log(10)(998), Given that log(10)(e) = 0....

    Text Solution

    |

  19. Find the approximate value of f(x)= x^3 + 5x^2 -2x +3 at x=1.98

    Text Solution

    |

  20. Check whether conditions of Rolle's theorem are satisfied by the follo...

    Text Solution

    |

  21. Check whether conditions of Rolle's theorem are satisfied by the follo...

    Text Solution

    |