Home
Class 12
MATHS
If 0^(circ) lt theta lt 180^(circ) then ...

If `0^(circ) lt theta lt 180^(circ)` then `sqrt(2+sqrt(2+sqrt(...+sqrt(2(1+cos theta)))))=` Here there are `n` number of 2 's

A

`2 cos (theta)/(2^(n-1))`

B

`2 cos (theta)/(2^(n))`

C

`2 cos (theta)/(2^(n+1))`

D

`2 cos (theta)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta)))=

If (pi)/(2) lt theta lt (3 pi)/(2) then sqrt((1-sin theta)/(1+sin theta)) equals to

If cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))) , then the value of theta is

Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , then the value of sin u is

sqrt(3) cot 20^(circ)-4 cos 20^(circ)=

If -(pi)/(4)lt A lt (pi)/(4) , then (sqrt(1+sin 2 A)+sqrt(1-sin 2 A))/(sqrt(1+sin 2 A)-sqrt(1-sin 2 A)) is equal to

Solve sqrt(2) sec theta+tan theta=1 .

4 cos 36^(circ)+cot (7 (1)/(2))^(circ)=

If cos theta + sin theta = sqrt(2) cos theta , show that cos theta - sin theta = sqrt(2) sin theta .

Use induction to show that for all n in N . sqrt(a+sqrt(a+sqrt(a+....+sqrt(a))))lt (1+sqrt((4a+1)))/(2) where'a' is fixed positive number and n radical signs are taken on LHS.

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. sqrt(3) cot 20^(circ)-4 cos 20^(circ)=

    Text Solution

    |

  2. For A=133^(circ), 2 cos (A/2)=

    Text Solution

    |

  3. If 0^(circ) lt theta lt 180^(circ) then sqrt(2+sqrt(2+sqrt(...+sqrt(2(...

    Text Solution

    |

  4. cos ^(2) 73^(circ)+cos ^(2) 47^(circ)+cos 73^(circ) . cos 47^(circ)=

    Text Solution

    |

  5. cos 40^(circ)+cos 80^(circ)+cos 160^(circ)+cos 240^(circ)=

    Text Solution

    |

  6. cos ^(4) (pi)/(8)+cos ^(4) (3 pi)/(8)+cos ^(4) (5 pi)/(8)+cos ^(4) (7 ...

    Text Solution

    |

  7. sin ^(2) (pi)/(18)+sin ^(2) (pi)/(9)+sin ^(2) (7 pi)/(18)+sin ^(2) (4 ...

    Text Solution

    |

  8. sin 12^(circ) .sin 48^(circ) .sin 54^(circ)=

    Text Solution

    |

  9. The value of sin 20^(circ) sin 40^(circ) sin 60^(circ) sin 80^(circ) i...

    Text Solution

    |

  10. The value of cos (pi)/(7) . cos (2 pi)/(7) . cos (4 pi)/(7) is

    Text Solution

    |

  11. cos 12^(circ)+cos 84^(circ)+cos 156^(circ)+cos 132^(circ)=

    Text Solution

    |

  12. cos (pi)/(11)+cos (3 pi)/(11)+cos (5 pi)/(11)+cos (7 pi)/(11)+cos (9 p...

    Text Solution

    |

  13. cos 20^(circ) cos 40^(circ) cos 60^(circ) cos 80^(circ)=

    Text Solution

    |

  14. The value of cos""pi/65.cos""(2pi)/65.cos""(4pi)/65.cos""(8pi)/65.cos"...

    Text Solution

    |

  15. sin 10^(circ) . sin 30^(circ) . sin 50^(circ) . sin 70^(circ)=

    Text Solution

    |

  16. The value of sin (pi)/(7)+sin (2 pi)/(7)+sin (3 pi)/(7) is

    Text Solution

    |

  17. In a triangle A B C, tan A+tan B+tan C=6 and tan A . tan B=2, then the...

    Text Solution

    |

  18. If A+B+C=pi, then cos B+cos C=

    Text Solution

    |

  19. If A+B+C=180^(circ) then the value of cot (A)/(2)+cot (B)/(2)+cot (C)/...

    Text Solution

    |

  20. If in a triangle A B C, tan A+tan B+tan C=6 then cot A . cot B . cot C...

    Text Solution

    |