Home
Class 12
MATHS
The value of x which satisfies 8^(1+|cos...

The value of x which satisfies `8^(1+|cos x|+|cos x|^(2))+.... =64` in `[-pi, pi]` is

A

`pm (pi)/(2), pm (pi)/(3)`

B

`pm (pi)/(3), pm (2pi)/(3)`

C

`pm(pi)/(2), pm (pi)/(6)`

D

`pm (pi)/(6), pm (pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 1|4 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 2|4 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

Similar Questions

Explore conceptually related problems

For 0 lt x lt pi the values of x which satisfy the relation 9^(1 + | cos x | + | cos^(2) x | + cos^(3) x | + …."upto" infty )= 3^(4) are given by

The values of x, between 0 and 2 pi . satisfying the equation cos 3 x + cos 2 x = sin ""(3 x)/( 2) + sin (x)/(2) are

Find all values of x in (-pi,pi) satisfying the equation 8^(1+cosx+cos^9(2)x+...)=4^(3).

The number of values of x in [0, 2 pi] satisfying the equation |cos x - sin x | ge sqrt(2) , is

The values of Sin^(-1)(cos{Cos^(-1)(cosx)+Sin^(-1)(sinx)})" where "x in (pi/2, pi) is

The number of values of x satisfying the equation 2sin^(2)x+4cos^(2)x=3 in the interval (0,2pi) is

(sin x + cos x)^(2) + cos^(2)((pi)/(4) + x) in

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. The smallest positive real value of p for which the equation cos (p si...

    Text Solution

    |

  2. The smallest positive values of x and y which satisfy tan (x-y)=1, sec...

    Text Solution

    |

  3. The solution of (81)^(sin^(2)x) +(81)^(cos^(2)x)=30 in [0, pi//2] is

    Text Solution

    |

  4. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

    Text Solution

    |

  5. The equation e^(sin x)-e^(-sin x)-4=0 has

    Text Solution

    |

  6. The equation sin^(4)x -2cos^(2)x + a^(2)=0 is solvable if

    Text Solution

    |

  7. The equation cos^(4)x-(a+2)cos^(2)x-(a+3)=0 possesses a solution if

    Text Solution

    |

  8. If (1)/(6) sin x, cos x, tan x are in G.P. then x is equal to

    Text Solution

    |

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

    Text Solution

    |

  10. If tan px = cot qx then the solutions are in

    Text Solution

    |

  11. If x in (-pi, pi) such that y=1 +|cos x|+|cos^(2)x|+|cos^(3)|+ …. And ...

    Text Solution

    |

  12. The value of x which satisfies 8^(1+|cos x|+|cos x|^(2))+.... =64 in [...

    Text Solution

    |

  13. If the equation (cos p - 1)x^(2) + cos p x + sin p =0 in the varable x...

    Text Solution

    |

  14. In a triangle ABC, angle A gt angle B. If the measures of angle A, ang...

    Text Solution

    |

  15. If alpha, beta are different values of x satisfying a cos x + b sin x ...

    Text Solution

    |

  16. If alpha, beta are solutions of a cos x + b sin x = c then cos alpha +...

    Text Solution

    |

  17. If alpha, beta are solutions of a cos x + b sin x = c then sin alpha +...

    Text Solution

    |

  18. If alpha, beta are the solutions of a cos 2theta + b sin 2theta = c, t...

    Text Solution

    |

  19. If alpha, beta are different values of theta satisfying the equation 5...

    Text Solution

    |

  20. If alpha, beta are solutions of a tan theta + b sec theta = c then ta...

    Text Solution

    |