Home
Class 11
MATHS
If m and M are the minimum and the maxim...

If m and M are the minimum and the maximum values of `4+1/2 sin^2 2x-2cos^4x, x in R` then

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|86 Videos

Similar Questions

Explore conceptually related problems

If m and M are the minimum and the maximum values of 4+(1)/(2)sin^(2)2x-2cos^(4)x,x in R then

Find the minimum and maximum values of 3cos x+4sin x

Find the minimum and maximum values of sin2x-cos2x

The minimum and maximum values of 1-8sin^(2)x cos^(2)x are

Find the minimum and maximum value of sin^(4)x+cos^(2) x where x in R

Find the maximum and minimum value of 3 sin 2x+4 cos 2x+3 .

If M and m are the maximum and minimum value of the expression cos^2 x-cosx+5/4 for x in [pi/2,(3pi)/2] then (m+M) equals

Find the minimum value of 4^(sin^(2)x)+4^(cos^(2)x)

Find the maximum and minimum value of sin^(2)x+4cos2x, for x in R

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If t a ntheta=\ -4/3 then s intheta is- -4/5\ b u t\ not4/5 b. -4/5or4...

    Text Solution

    |

  2. sec^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=y ,x!...

    Text Solution

    |

  3. If u=a^2cos^2theta+b^2sin^2theta+a^2sin^2theta+b^2cos^2theta then the ...

    Text Solution

    |

  4. piltalpha-betalt3pi,sinalpha+sinbeta=-21/65,cosalpha+cosbeta="-27/65,t...

    Text Solution

    |

  5. If 0ltxltpi and cosx + sinx =1/2 , then tanx is (1) ...

    Text Solution

    |

  6. Let cos(alpha+beta)""=4/5 and let s in(alphabeta)""=5/(13) where 0lt=a...

    Text Solution

    |

  7. If A""=""s in^2x""+""cos^4x , then for all real x : (1) 3/4lt=Alt=1...

    Text Solution

    |

  8. In a DeltaPQR. if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1, then the angle R...

    Text Solution

    |

  9. The expression (t a n A)/(1-cot A)+(cot A)/(1-t a n A) can be written ...

    Text Solution

    |

  10. Let fK(x)""=1/k(s in^k x+cos^k x) where x in R and kgeq1 . Then f4(x)...

    Text Solution

    |

  11. If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...

    Text Solution

    |

  12. If A >0,\ B >0\ a n d\ A+B=\ pi/6 , then the minimum value of t a n A+...

    Text Solution

    |

  13. Given both thetaa n dvarphi are acute angles and sinalphabetagamma=1/2...

    Text Solution

    |

  14. In an equilateral triangle 3 coins of radii 1 unit each are kept so...

    Text Solution

    |

  15. t1 = (sintheta)^costheta ,t2 = (sintheta)^sintheta , t3 = (costheta)^c...

    Text Solution

    |

  16. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

    Text Solution

    |

  17. For 0<theta<pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+((m-1)/...

    Text Solution

    |

  18. The maximum value of the expression 1/(sin^2 theta + 3 sin theta cos t...

    Text Solution

    |

  19. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

  20. Let P={theta: s intheta-costheta=sqrt(2)costheta}a n d\ Q={theta: s in...

    Text Solution

    |