Home
Class 12
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

A

`9/4`

B

`15/4`

C

`7/4`

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-1|70 Videos
  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos
  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 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

DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-2
  1. If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...

    Text Solution

    |

  2. The expression (1 + sin 2 alpha )/( cos (2 alpha - 2pi) tan (alpha - (...

    Text Solution

    |

  3. Solve the inequality, cosxle-1/2.

    Text Solution

    |

  4. Two men are on the opposite sides of a tower. They measure the angles ...

    Text Solution

    |

  5. The range of vlaues of the expression 5 cos theta + 3 cos (theta + (pi...

    Text Solution

    |

  6. The value of (1-tan^2 1 5^(@))/(1+tan^2 1 5^(@)) is

    Text Solution

    |

  7. Which pairs of function is identical ?

    Text Solution

    |

  8. If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AA...

    Text Solution

    |

  9. If tan ((pi)/(4) + theta) + tan ((pi )/(4) - theta) = p sec 2 theta) t...

    Text Solution

    |

  10. Period of sin theta - sqrt2 cos theta is

    Text Solution

    |

  11. tan^(6)20^(@) - 33tan^(2) 20^(@) + 27 tan^(2) 20^(@) + 4=

    Text Solution

    |

  12. Which of the following is correct ?

    Text Solution

    |

  13. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

    Text Solution

    |

  14. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

    Text Solution

    |

  15. The value of sin ""(pi)/(16) sin ""(3pi)/(16) sin ""(5pi)/(16) sin ""(...

    Text Solution

    |

  16. General solution of the equation 2 cot ^(2) theta + 2sqrt3 cot theta...

    Text Solution

    |

  17. A man observe that was he has climbed up 1/3 of the length of an incli...

    Text Solution

    |

  18. The number of solutions of tan x+ sec x=2 cos x in (0, 2pi) is

    Text Solution

    |

  19. If sinA=3/5, 0 lt A lt pi/2 and cosB=-12/13, pi lt B lt (3pi)/2, then ...

    Text Solution

    |

  20. The domain of f(x)= sqrt(cos(sinx))+sqrt(logx{x}) where {x} denotes fr...

    Text Solution

    |

  21. The range of f(x) = cos x - sin x is

    Text Solution

    |