Home
Class 12
MATHS
sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta)))=...

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

A

`2 sin theta`

B

`2 cos (theta)/(2)(c) sin 2 theta`

C

sin 2 theta`

D

`2 cos theta`

Text Solution

Verified by Experts

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

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

Use the principle of mathematical induction to prove that for all n in N sqrt(2+sqrt(2+sqrt(2+...+...+sqrt2)))=2cos ((pi)/(2^(n+1))) when the LHS contains n radical signs.

Find the value of x in sqrt(x+2sqrt(x+2sqrt(x+2sqrt(3x))))...=x.

sqrt(sec^(2) theta + cosec^(2) theta)= _________

Is the following computation correct ? If not give the correct compuatation: sqrt((-2)) sqrt((-3)) = sqrt((-2)(-3))=sqrt6

int sqrt(sin 2x) cos 2x dx .

sqrt(2)x^(2) +x + sqrt(2)=0

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

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

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. Which one of the following is possible?

    Text Solution

    |

  2. If one side of a triangle is double the other and the angles opposite ...

    Text Solution

    |

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

    Text Solution

    |

  4. A cow is tied to a post by a rope. The cow moves along the circular pa...

    Text Solution

    |

  5. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

    Text Solution

    |

  6. (sin theta+cos theta)(tan theta+cot theta)=

    Text Solution

    |

  7. The sides of a triangle are 6+sqrt(12),sqrt(48) and sqrt(24). The tang...

    Text Solution

    |

  8. cot 12^(circ) cot 102^(circ)+cot 102^(circ) cot 66^(circ) +cot 66^(ci...

    Text Solution

    |

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

    Text Solution

    |

  10. Angles of elevatiobn of the top of a tower from three points (collinea...

    Text Solution

    |

  11. If any triangle A B C, the simplified form of (cos 2 A)/(a^(2))-(cos...

    Text Solution

    |

  12. A value of theta satisfying sin 5 theta-sin 3 theta+sin theta=0 such ...

    Text Solution

    |

  13. If tan A-tan B=x and cot B-cot A=y, then cot (A-B)=

    Text Solution

    |

  14. The value of "cos"^(2)(pi)/(12)+"cos"^(2)(pi)/(4)+"cos"^(2)(5pi)/(12) ...

    Text Solution

    |

  15. If sin theta, cos theta, tan theta are in G.P, then cot ^(6) theta-cot...

    Text Solution

    |

  16. (1-tan ^(2) 15^(circ))/(1+tan ^(2) 15^(circ))=

    Text Solution

    |

  17. sin ^(2) 5^(circ)+sin ^(2) 10^(circ)+sin ^(2) 15^(circ)+….+sin ^(2) 90...

    Text Solution

    |

  18. If 0 lt theta lt (pi)/(2) and tan theta+sec theta=p then sec theta=

    Text Solution

    |

  19. sin 10^(circ)+sin 20^(circ)+sin 30^(circ)+.. .+sin 360^(circ)=

    Text Solution

    |

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

    Text Solution

    |