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+sqrt(3))/(2)`

B

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

C

`(2)/(3)`

D

`(3)/(2)`

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. The value of (cot 54^(circ))/(tan 36^(circ))+(tan 20^(circ))/(cot 70^(...

    Text Solution

    |

  2. If A and B are two points of a circle of radius r with centre at the p...

    Text Solution

    |

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

    Text Solution

    |

  4. Radii of two circles are 5 cm and 3 cm respectively and the distance b...

    Text Solution

    |

  5. In a DeltaABC if |(1,a,b),(1,c,a),(1,b,c)|=0 then Sin^(2)A+Sin^(2)B+...

    Text Solution

    |

  6. The acute angle in radians between the minute and the hour hands of a ...

    Text Solution

    |

  7. If 0ltxlt(pi)/(2), then the largest angle of a triangle whose sides ar...

    Text Solution

    |

  8. cos 1^(circ)+cos 2^(circ)+cos 3^(circ)+...+cos 180^(circ)=

    Text Solution

    |

  9. The value of (tan 70^(circ)-tan 20^(circ))/(tan 50^(circ))=

    Text Solution

    |

  10. The circum-radius of the triangle whose sides are 13, 12 and 5 is...

    Text Solution

    |

  11. IfA+B+C = 180^(@) then sumtan(A)/(2)tan(B)/(2)=

    Text Solution

    |

  12. If 0lexlepi and 81^(sin^(2x))+81^(cos^(2x))=30 then x=

    Text Solution

    |

  13. In a triangleABC if the sides are a =3, b = 5 and c = 4then sin(B/2) +...

    Text Solution

    |

  14. If 12 cot^(2)theta - 31 cosec theta+32 = 0 then the value of Sin theta...

    Text Solution

    |

  15. The value of cos(270^(@) + theta) cos (90^(@)-theta) - sin (270^(@) - ...

    Text Solution

    |

  16. If the angles of a triangle are in the ratio 3:4:5, then the sides are...

    Text Solution

    |

  17. If sec theta = m and tan theta = n, then (1)/(m)[(m+n)+(1)/((m+n))]=

    Text Solution

    |

  18. From an aeroplane flying, vertically above a horizontal road, the ange...

    Text Solution

    |

  19. sin^(2)17.5^(@) + sin^(2)72.5^(@) is equal to

    Text Solution

    |

  20. The value of (1-tan ^(2) 15^(circ))/(1+tan ^(2) 15^(circ)) is

    Text Solution

    |