Home
Class 12
MATHS
Show that 5xlt=8sinx-sin2xlt=6x for 0lt=...

Show that `5xlt=8sinx-sin2xlt=6x` for `0lt=xlt=pi/3dot`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Discuss the extremum of f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot

Find the area bounded by the y-axis, y=cosx ,and y=sinx when 0lt=xlt=pi/2dot

Discuss the extremum of f(x)=1+2sinx+3 cos^2x ,0lt=xlt=(2pi)/3

Solve the equation 2(cos x+cos2x)+sin2x(1+2cos x)=2sinx for (-pilt=xlt=pi)

Find the value of "cos"(2cos^(-1)x+sin^(-1)x) at x=1/5, where 0lt=pi and -pi/2lt=sin^(-1)xlt=pi/2dot

The number of solution of sinx+sin2x+sin3x=cosx+cos2x+cos3x ,0lt=xlt=2pi, is

Show that 0 < xsinx-1/2 sin^2x < ((pi-1))/2 ,AAx in (0,pi/2) dot

Let S be the area bounded by the curve y=sinx(0lt=xlt=pi) and the x-axis and T be the area bounded by the curves y=sinx(0lt=xlt=pi/2),y=acosx(0lt=xlt=pi/2), and the x-axis (w h e r ea in R^+) The value of (3a) such that S : T=1:1/3 is______

The domain of definition of the function f(x) given by the equation 2^y=2 is 0

The area bounded by the curves y=sin^(-1)|sinx|a n dy=(sin^(-1)|sinx|^2,w h e r e0lt=xlt=2pi, is 1/3+(pi^2)/4 s qdotu n i t s (b) 1/6+(pi^3)/8s qdotu n i t s 2s qdotu n i t s (d) none of these

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then (a)k<3...

    Text Solution

    |

  2. Let f: \mathbb{R} rarr \mathbb{R} be a twice differentiable function s...

    Text Solution

    |

  3. Show that 5xlt=8sinx-sin2xlt=6x for 0lt=xlt=pi/3dot

    Text Solution

    |

  4. Discuss the number of roots of the equation e(k-xlogx)=1 for different...

    Text Solution

    |

  5. Prove that sin1>cos(sin1)dot Also, show that the equation sin("cos"(si...

    Text Solution

    |

  6. Pa n dQ are two points on a circle of centre C and radius alpha . The ...

    Text Solution

    |

  7. If f(x)=2/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-log(x^2+x+1)+(lambda^2-5...

    Text Solution

    |

  8. Let f(x)={(2-|x^2+5x+6|,x!=-2),(a^2+1,x=-2):} then value of 'a' so tha...

    Text Solution

    |

  9. If A >0,B >0 and A+B=pi/3, the maximum value of tanAtanB is

    Text Solution

    |

  10. f(x)=4tanx-tan^2x+tan^3x ,x!=npi+pi/2, (a)is monotonically increasi...

    Text Solution

    |

  11. If for a function f(x),f^'(a)=0,f^(' ')(a)=0,f^(''')(a)>0, then at x=a...

    Text Solution

    |

  12. The function f(x)=x(x+4)e^(-x//2) has its local maxima at x=adot The...

    Text Solution

    |

  13. Iff(x)={sin^(-1)(sinx),x >0, pi/2,x=0,tcos^(-1)(cosx),x<0

    Text Solution

    |

  14. f: R to R ,f(x) is differentiable such that f(f(x))=k(x^5+x),k!=0)dot ...

    Text Solution

    |

  15. Consider the function f:(-oo,oo)to(-oo,oo) defined by f(x)=(x^2-a)/(x^...

    Text Solution

    |

  16. If f: RtoRa n dg: RtoR are two functions such that f(x)+f^(primeprime)...

    Text Solution

    |

  17. Let h(x)=x^(m/n) for x in R , where m and n are odd numbers where 0<...

    Text Solution

    |

  18. Find the number of points of maxima and minima of the function. f(x)=1...

    Text Solution

    |

  19. Let (h , k) be a fixed point, where h >0,k > 0. A straight line passin...

    Text Solution

    |

  20. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

    Text Solution

    |