Home
Class 12
MATHS
The value of "cos"^(2)(pi)/(12)+"cos"^(2...

The value of `"cos"^(2)(pi)/(12)+"cos"^(2)(pi)/(4)+"cos"^(2)(5pi)/(12)` is

A

`(3)/(2)`

B

`(3+sqrt(3))/(2)`

C

`(2)/(3)`

D

`(2)/(3+sqrt(3))`

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

The value of cos(sin^(-1).(pi)/(3)+cos^(-1).(pi)/(3)) is

cos ^(2) (3 pi)/(5)+cos ^(2) (4 pi)/(5)=

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

The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is

The maximum value of cos ^(2)((pi)/(3)-x)-cos ^(2)((pi)/(3)+x) is

The value of cos (pi)/(5) . cos (2 pi)/(5). cos (4 pi)/(5) . cos (8 pi)/(5) is

The value of cos (2 pi)/(7)+cos (4 pi)/(7)+cos (6 pi)/(7) is

The value of cos^(-1) ("cos" (5pi)/3)+sin^(-1) ("sin"(5pi)/3) is :

The value of int_(-pi/2)^(pi/2) |x cos ((pix)/2)| dx is

The value of sin^(-1)(cos""(53pi)/(5)) 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

    |