Home
Class 11
MATHS
If 1/6 sin x , cos x , tan x are in G.P....

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

A

`npi +- pi/3, n in Z`

B

`2npi +- pi/3, n in Z`

C

`npi +(-1)^n pi/3, n in Z`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

x.[x],{x} are in G.P. then x equals

If sin A,cos A and tan A are in G.P. then cos^3A+cos^2A is equal to

If sin A,cosA and tan A are in G.P. then cot^6A-cot^2A is equal to

If k_1 le sin^-1 x + cos^-1 x + tan^-1 x le k_2 then

If sin^-1 x - cos^-1 x = pi/6 then x is

If int cos x log (tan""(x)/(2))dx = sin x log (tan""(x)/(2)) + f(x) then f(x) is equal to, (assuming c is a arbitrary real constant)

If tan x, tan y, tan z,"are in G.P.,show that," cos2y = (cos(x+z))/cos(x-z)

The value of the integral int (sin x - x cos x)/(x(x + sin x)) dx is equal to

If f(x) = x + tan x and f is the inverse of g , then g'(x) is equal to

tan^-1[(cos x)/(1+sin x)] is equal to

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. If theta in [0 , 5pi] and r in R such that 2 sin theta = r^4 - 2r^2 + ...

    Text Solution

    |

  2. The integer k for which the equation 7cosx+5sinx=2k+1 has a solution i...

    Text Solution

    |

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

    Text Solution

    |

  4. The equation sin x = x^2 + x + 1 has

    Text Solution

    |

  5. In a triangle ABC, angle A is greater than angle B. If the measures of...

    Text Solution

    |

  6. If k1 le sin^-1 x + cos^-1 x + tan^-1 x le k2 then

    Text Solution

    |

  7. If sin^-1(x - x^2/2 + x^3/4 - ..... infty) + cos^-1 (x^2 - x^4/2 + x^6...

    Text Solution

    |

  8. cot^-1 (9/2) + cot^-1 (25/2) + cot^-1 (49/2) + ........ to n terms is ...

    Text Solution

    |

  9. The interval on which cos^-1 x gt sin^-1 x gt tan^-1 x is

    Text Solution

    |

  10. If (cos^2 x + 1/(cos^2 x)) (1 + tan^2 2y)(3 + sin 3z) = 4 ,then

    Text Solution

    |

  11. 2 sin^2(pi/2 cos^2 x) = 1 - cos(pi sin 2x). if

    Text Solution

    |

  12. sqrt(cos 2x) + sqrt(1 + sin 2x) = 2sqrt(sin x + cos x) if

    Text Solution

    |

  13. If tan^-1 y = 4 tan^-1 x , then y is infinite , if

    Text Solution

    |

  14. The solution of the equation sin[2cos^-1{cot(2tan^-1x)}] = 0 are

    Text Solution

    |

  15. If the numerical value of tan{cos^-1(4/5)+tan^-1(2/3)} is a/b , then

    Text Solution

    |

  16. If x gt 0 , then tan^-1 x =

    Text Solution

    |

  17. alpha , beta and gamma are the angles gives by alpha = 2 tan^-1(sqrt2...

    Text Solution

    |

  18. x = npi - tan^-1 3 is a solution of the equation 12 tan 2x + sqrt10/co...

    Text Solution

    |

  19. Let A be the area of an n-sided regular convex polygon of each side a,...

    Text Solution

    |

  20. Let A be the area of an n-sided regular convex polygon of each side a,...

    Text Solution

    |