Home
Class 12
MATHS
If 81^(sin^2 x) + 81^(cos^2 x) = 30, whe...

If `81^(sin^2 x) + 81^(cos^2 x) = 30`, where `(pi//2) le x le pi`, then x =

A

`pi//3 or pi//6`

B

`2pi//3 or 5pi//6`

C

`pi//6 or 5pi//6`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles|27 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - B : MASTERING THE BEST|58 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise HARDER SOLVED EXAMPLES|43 Videos
  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos
  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

Solve 2 cos^(2) x+ sin x le 2 , where pi//2 le x le 3pi//2 .

If: sin(x+pi/6)=sqrt3/2 , where 0 le x le 2pi , then: x=

If : sin x +cos x = sin 2 x + cos 2 x , "where" 0 lt x le (pi)/(2), "then x":=

The number of roots of the equation, (81) ^( sin ^(2)x) + (81) ^( cos ^(2)x) x = 30 in the interval [0, pi ] is equal to :

Statement I The curve y=81^(sin^(2)x)+81^(cos^(2)x)-30 intersects X-axis at eight points in the region -pi le x le pi . Statement II The curve y=sinx or y=cos x intersects the X-axis at infinitely many points.

if 0<=x<=pi and 81^( sin ^(2)x)+81^(cos^(2)x)=30 then x=

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
  1. The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "si...

    Text Solution

    |

  2. If sqrt(3).sinx + cosx= sqrt(3), then the general solution is x=

    Text Solution

    |

  3. If 81^(sin^2 x) + 81^(cos^2 x) = 30, where (pi//2) le x le pi, then x ...

    Text Solution

    |

  4. The general solution of the equation sin theta + cos theta = 1 is th...

    Text Solution

    |

  5. If sqrt(3) cdot cos theta + sin theta = sqrt(2), then the general valu...

    Text Solution

    |

  6. The equation sqrt(3) cdot sin x + cos x = 4 has

    Text Solution

    |

  7. General solution of the equation sin^(3) theta cdot cos theta - sin ...

    Text Solution

    |

  8. The number of solutions of the equation 3"sin"^(2) x - 7"sin" x +2...

    Text Solution

    |

  9. General solution of tan 5 theta = cot 2 theta

    Text Solution

    |

  10. If tan 2 theta cdot tan theta = 1, then general value of theta is

    Text Solution

    |

  11. If sin 6 theta + sin 4 theta + sin 2 theta = 0 Then the general valu...

    Text Solution

    |

  12. If sin theta = 1//2 and cos theta = -sqrt(3)//2, then the general va...

    Text Solution

    |

  13. If 2 sin^(2) theta - 3 sin theta - 2 = 0, then general value of theta ...

    Text Solution

    |

  14. The set of values of x for which ("tan" 3x- "tan" 2x)/(1+"tan" 3 x "ta...

    Text Solution

    |

  15. General solution of the equation (sqrt(3) - 1) sin theta + (sqrt(3) ...

    Text Solution

    |

  16. The most general value of theta satrisfying the two equations cos th...

    Text Solution

    |

  17. If cos theta + cos 2 theta + cos 3 theta = 0 then the general value ...

    Text Solution

    |

  18. General solution of the equation 2 sin^(2)x + sqrt(3) cdot cos x + 1...

    Text Solution

    |

  19. If 3 tan (theta - 15^@) = tan (theta + 15^@), then the general value...

    Text Solution

    |

  20. The general solution of 8 tan^(2)""(x)/(2)=1+ sec x is

    Text Solution

    |