Home
Class 12
MATHS
The value of (1+cos (pi/6))(1+cos(pi/3...

The value of `(1+cos (pi/6))(1+cos(pi/3))(1+cos ((2pi)/3))(1+cos((7pi)/6))=`

A

`3/16`

B

`3/8`

C

`3/4`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
`(1+cos""pi/6) (1 + cos""pi/3) (1+cos ""(2pi)/3) (1+cos""(7pi)/6)`
`( 1+sqrt3/2) (1+1/2) (1-1/2) (1-sqrt3/2)`
`(1-3/4) (1-1/4) =1/4 xx 3/4 = 3/16`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 1 Trigonomertric Ratio of Allied Angle|18 Videos

  • THREE DIMENSIONAL GEOMETRY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|3 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|20 Videos

Similar Questions

Explore conceptually related problems

The value of (1+cos((pi)/(6)))(1+cos((pi)/(3)))(1+cos((2 pi)/(3)))(1+cos((7 pi)/(6)))=

The value of cos^(-1)(cos(14pi/6)) is

The value of (1+cos((pi)/(9)))(1+cos((3 pi)/(9)))(1+cos((5 pi)/(9)))(1+cos((7 pi)/(9)))

Evaluate: (1+cos(pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos (7pi/8))

Find the value of: (1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8))(1+cos""(7pi)/(8))=?

Prove that (1 + cos(pi/8))(1 + cos(3pi/8))(1 + cos(5pi/8))(1 + cos(7pi/8)) = 1/8

The value of (1+cos ""(2pi)/(15))(1+cos""(8pi)/(15))(1+cos""(12pi)/(15))is

The value of cos((pi)/(7))+cos((2 pi)/(7))+cos((3 pi)/(7))+cos((4 pi)/(7))+cos((5 pi)/(7))+cos((6 pi)/(7))+cos((7 pi)/(7)) is 1(b)-1(c)0(d) none of these

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-TRIGONOMETRIC FUNCTIONS -EXERCISE 2 (MISCELLANEOUS PROBLEMS)
  1. sin^(6) theta + cos^(6) theta is equal to

    Text Solution

    |

  2. cos^(2)5^(@) +cos^(2)10^(@) + cos^(2) 15^(@) +…..+cos^(2) 85^(@) + cos...

    Text Solution

    |

  3. (sin(90^(@) -theta)sin theta)/(tan theta) + sin^(2) theta is equal to

    Text Solution

    |

  4. If tantheta=(20)/(21) , show that (1-sintheta+costheta)/(1+sintheta...

    Text Solution

    |

  5. For 0 le theta le pi/2 the maximum value of sin theta + cos theta i...

    Text Solution

    |

  6. (cos 70^(@))/(sin 20^(@)) + (cos 59^(@))/(sin 31^(@) ) - 8 sin^(2) 30^...

    Text Solution

    |

  7. If sin theta = 1/2 and theta is acute then (3 cos theta -4 cos^(3) ...

    Text Solution

    |

  8. If 3 sin theta + 4 cos theta =5 , then value of sin theta is

    Text Solution

    |

  9. If theta "is theta " and (cos^(2)theta)/(cot^(2) theta -cos^(2) theta)...

    Text Solution

    |

  10. The value of (1+cos (pi/6))(1+cos(pi/3))(1+cos ((2pi)/3))(1+cos((7pi...

    Text Solution

    |

  11. If cos 20^(@) - sin 20^(@) =p " then " cos 40^(@) is equal to

    Text Solution

    |

  12. If Sn=cos^ntheta+sin^n tehta then find teh value of 3S4-2S6

    Text Solution

    |

  13. If cos x + cos^(2) x =1 then the value of sin^(12) x + 3 sin^(10)...

    Text Solution

    |

  14. If x sin^3theta+ycos^3theta=sinthetacostheta and xsintheta=ycostheta ...

    Text Solution

    |

  15. If theta in the first quadrant and 5 tan theta =4 " then " ( 5 sin ...

    Text Solution

    |

  16. If sinA+cosA=m and sin^3 A +cos^3 A = n then

    Text Solution

    |

  17. If sintheta+cosectheta=2 then the value of sin^(10)theta+cosec^(10)the...

    Text Solution

    |

  18. sec^2theta=(4x y)/((x+y)^2) is true if and only if

    Text Solution

    |

  19. If sec theta + tan theta = k, cos theta equals to

    Text Solution

    |

  20. ABC is a right angled isosceles triangle with /B=90^@ If D is a point ...

    Text Solution

    |