Home
Class 12
MATHS
Prove that y=(4 sin theta)/((2+cos theta...

Prove that `y=(4 sin theta)/((2+cos theta))-theta` is an increasing function of `theta` in `[0, pi/2]`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

Prove that sin (3theta)/(1+2cos 2theta)=sin theta .

Prove that (sin2theta)/(1+cos2theta)=tantheta

Prove that (sin2theta)/(1-cos2theta)=cottheta

Prove that (cos2theta)/(1+sin2theta)=tan(pi//4-theta)

Prove that cos^2theta=(1+cos2theta)/2

Solve sqrt 2+sin theta=cos theta .

Prove that (1+sintheta-cos theta)/(1+sin theta+costheta)=tantheta//2

Prove that (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta

Prove that (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Show that y = log(1+x)-(2x)/(2+x) ,x>-1 is an increasing function of x...

    Text Solution

    |

  2. Find the value of x for which y=[x(x-2)]^2 is an increasing function.

    Text Solution

    |

  3. Prove that y=(4 sin theta)/((2+cos theta))-theta is an increasing func...

    Text Solution

    |

  4. Prove that the logarithmic function is strictly increasing on (0,oo)

    Text Solution

    |

  5. Prove that the function f given by f(x)=x^2-x+1 is neither strictly in...

    Text Solution

    |

  6. Which of the following functions are strictly decreasing on '(0, pi/2)...

    Text Solution

    |

  7. On which of the following intervals is the function f given by f(x)=x^...

    Text Solution

    |

  8. Find the least value of a such that the function f given by f(x)=x^2+a...

    Text Solution

    |

  9. Let I be any interval disjoint from (-1,1) Prove that the function f g...

    Text Solution

    |

  10. Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2...

    Text Solution

    |

  11. Prove that the function f given by f(x)=log cos x is strictly decreasi...

    Text Solution

    |

  12. Prove that the function given by f(x)=x^3-3x^2+3x-100 in increasing in...

    Text Solution

    |

  13. The interval in which y=x^2e^(-x) is increasing is a) (0,2) b) (-2,0) ...

    Text Solution

    |

  14. Find the slope of the tangent to the curve 'y=x^3-x' at 'x=2'.

    Text Solution

    |

  15. Find the point at which the tangent to the curve y=sqrt(4 x-3)-1 has i...

    Text Solution

    |

  16. Find the equation of all lines having slope 2 and being tangent to the...

    Text Solution

    |

  17. Find points on the curve x^2/4+y^2/25=1 at which the tangents are para...

    Text Solution

    |

  18. Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3)) at ...

    Text Solution

    |

  19. Find the equation of the tangent to the curve x^(2/3)+y^(2/3)=2 at (1,...

    Text Solution

    |

  20. Find the equation of tangent to the curve given by x=asin^3t,y=bcos^3t...

    Text Solution

    |