Home
Class 14
MATHS
Minimum value of 27^(cos 2x) 81^( sin 2x...

Minimum value of `27^(cos 2x) 81^( sin 2x)` is

A

`(1)/(243)`

B

`(1)/(27)`

C

`-5`

D

`(1)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ADVANCED TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 13A|49 Videos

  • ALGEBRAIC IDENTITIES

    LUCENT PUBLICATION|Exercise Exercise - 1B|28 Videos

Similar Questions

Explore conceptually related problems

The Minimum value of 27^(cos x)+81^(sin x) is equal to

In the following incomplete sentences fill in the blanks such that the resulting sentences become true. The minimum value of 27^(cos x) + 81^(sin x) is __

Find the maximum & minimum values of 27^(cos2x). 81^(s in2x)

The minimum value of 27^(cos3x)81^(sin3x) is

the minimum value of 27cos x+81sin x is

the ratio of maximum and minimum value of 2-cos x+sin^(2)x is:

The minimum value of 2^(sin x)+2^(cos x)

The minimum value of a^(cos^(2)x)+a^(sin^(2)x)AA(a>0) is

The minimum value of, 25cos e c^2x+16 sin^2x (A) 41 (B) 42 (C) 43 (D) none of these

LUCENT PUBLICATION-ADVANCED TRIGONOMETRIC IDENTITIES-EXERCISE 13A
  1. The value of (sin 55^(@) - cos 55^(@))/(sin10^(@) is

    Text Solution

    |

  2. The value of cos 15^(@) - sin 15^(@) is

    Text Solution

    |

  3. Minimum value of 27^(cos 2x) 81^( sin 2x) is

    Text Solution

    |

  4. 3 (sinx - cosx)^(4) + 6 (sinx + cosx)^(2) + 4(sin^(6)x + cos^(6)x) =

    Text Solution

    |

  5. If sin theta = sin 15^(@) + sin 45^(@), " where " 0^(@) lt theta lt ...

    Text Solution

    |

  6. If cos alpha + cos beta = 0 = sin alpha + sin beta, then value of cos...

    Text Solution

    |

  7. If A + B = 45^(@), " then " (cot A - 1) ( cot B - 1) is

    Text Solution

    |

  8. If alpha, beta in (0, (pi)/(2)), sin alpha = (4)/(5) " and " cos (alp...

    Text Solution

    |

  9. The value of tan 40^(@) + tan 20^(@) + sqrt(3) tan 20^(@) tan 40^(@) ...

    Text Solution

    |

  10. The value of cos 20^(@) + Cos 100^(@) + cos 140^(@) is

    Text Solution

    |

  11. If (-pi)/(2) < theta < (pi)/(2) " and " theta ne pm (pi)/(4), then th...

    Text Solution

    |

  12. If sin theta =3 sin ( theta + 2 alpha), then the value of tan (theta...

    Text Solution

    |

  13. If x=ycos""(2pi)/(3)=zcos""(4pi)/(3), then xy+yz+zx is equal to

    Text Solution

    |

  14. (cos 9^(@) + sin 9^(@))/(cos 9^(@) - sin 9^(@)) equals

    Text Solution

    |

  15. The value of sin 50^(@) - sin 70^(@) + sin 10^(@) is

    Text Solution

    |

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

    Text Solution

    |

  17. If tanalpha=(m)/(m+1)andtan beta=(1)/(2m+1), then (alpha+beta)=?

    Text Solution

    |

  18. (sin(x+y))/(sin(x-y))=(a+b)/(a-b), then (tanx)/(tany)=?

    Text Solution

    |

  19. If tan alpha = (5)/(6) tan beta = (1)/(11) then the value of alpha +...

    Text Solution

    |

  20. Maximum value of sin (x + (pi)/(6)) + cos (x + (pi)/(6)) is

    Text Solution

    |