Home
Class 12
MATHS
The greatest value of sin^4theta+cos^4th...

The greatest value of `sin^4theta+cos^4theta` is

A

`1//2`

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (2) TRUE AND FALSE|4 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (3) ( MULTIPLE CHOICE QUESTIONS)|23 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (1) FILL IN THE BLANKS|2 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

The greatest value of sin^(4)theta+cos^(4)theta is

The greatest value of sin^(4)theta+cos^(4)theta is (1)/(2)(b)1 (c) 2(d)3

If sin theta cos theta = sqrt3//4 ,then the value of sin^4theta + cos^4 theta is

If (sin theta + cos theta)/(sin theta - cos theta)=3 , then the value of sin^(4)theta - cos^(4)theta is:

If sin^(2)theta-cos^(2)theta=(1)/(4) , then the value of (sin^(4)theta-cos^(4)theta) is :

If sin theta-cos theta=0 ,then the value of sin^(4)theta+cos^(4)theta is

If sin theta-cos theta=0 ,then the value of sin^(4)theta+cos^(4)theta is

The greatest value of (2sin theta+3cos theta+4)^(3).(6-2sin theta-3cos theta)^(2) , as theta in R , is

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (2) ( MULTIPLE CHOICE QUESTIONS)
  1. Find the least value of 2 sin^(2) theta+ 3 cos^(2) theta.

    Text Solution

    |

  2. The least values of cosec^(2) x + 25 sec^(2)x is

    Text Solution

    |

  3. The greatest value of sin^4theta+cos^4theta is

    Text Solution

    |

  4. If f(x)=cos^(2)x+sec^(2)x, then

    Text Solution

    |

  5. Prove that 3/4 le sin^(2)theta +cos^(4) theta le 1 for all real theta.

    Text Solution

    |

  6. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

    Text Solution

    |

  7. If theta , phi are acute, sin theta = 1//2 , cos phi = 1//3, then [ t...

    Text Solution

    |

  8. The value of cos10^(@)-sin 10^(@) is

    Text Solution

    |

  9. Which of the following is correct ?

    Text Solution

    |

  10. Maximum value of 24 sin theta+7 cos theta is

    Text Solution

    |

  11. The minimum value of 3 sin theta + 4 cos theta is

    Text Solution

    |

  12. Maximum value of 3 cos theta + 4 sin theta is

    Text Solution

    |

  13. The minimum value of 3 cos x+4 sin x+8 is:

    Text Solution

    |

  14. Prove that the value of 5 cos theta + 3cos (theta + pi/3) +3 lies bet...

    Text Solution

    |

  15. If ale 3 cos x + 5 sin ( x - pi //6) leb for all x, then (a,b ) =

    Text Solution

    |

  16. If a cos theta - b sin theta = lambda, then AA real theta

    Text Solution

    |

  17. sqrt( 3) sin x + cos x is maximum when x is

    Text Solution

    |

  18. The set of values of 'a' for which the equation sqrt(a) "cos" x -2 "...

    Text Solution

    |

  19. Given 12 sin theta + 5 cos theta =2 x^(2) - 8 x +21 and theta and x a...

    Text Solution

    |

  20. If cos 25^(@) + sin 25^(@) =0, then: cos 50^(@)=

    Text Solution

    |