Home
Class 12
MATHS
Prove that cos ^(2) x + cos ^(2) (x + (...

Prove that ` cos ^(2) x + cos ^(2) (x + (pi)/(3) + cos ^(2) (x - (pi)/(3)) = 3/2.`

A

0

B

`(3)/(4)`

C

1

D

`(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

2 sin ^(2) "" (pi)/(6) + cosec ^(2) "" (7pi)/(6) cos ^(2) "" (pi)/(3) = 3/2

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

Prove that cos (pi/2 + x) = - sin x .

Prove that cos 3x=4 cos ^3x-3cos x

cos^(-1)("cos"(2pi)/3)

Prove that: cos3x=4cos^(3)x-3cosx

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

Prove thet sin^(2) (pi//6) + cos^(2) (pi//3)- tan^(2) (pi//4) = (-1)/(2)

prove that 2 cos ""pi/13 cos "" (9pi)/( 13) + cos "" (3pi)/(13) + cos " (5pi)/( 13) =0

Prove that cos ( ( 3pi )/(2) + x) ) cos (2pi+x) .[ cot ((3pi )/( 2) - x) ) + cot (2pi +x) ]=1

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),(0","x=0),(1","x>0):} Then fo...

    Text Solution

    |

  2. If g(f(x))=|sin x| and f(g(x))=(sin sqrt(x))^(2) then

    Text Solution

    |

  3. Prove that cos ^(2) x + cos ^(2) (x + (pi)/(3) + cos ^(2) (x - (pi)/(...

    Text Solution

    |

  4. If e^(f(x))=(10+x)/(10-x), x in(-10,10) and f(x)=k f((200 x)/(100+x^(...

    Text Solution

    |

  5. Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)), x ne 0, then f(x)=

    Text Solution

    |

  6. If f(x)=(1)/(sqrt(x+2 sqrt(2 x-4)))+(1)/(sqrt(x-2 sqrt(2 x-4))), for x...

    Text Solution

    |

  7. Let X={1,2,3,4}, then one-one onto mappings f:XtoX such that f(1)=1,f(...

    Text Solution

    |

  8. Let, f: R rarr R be given by f(x)=(x+1)^(2)-1, x ge-1 . Then the set...

    Text Solution

    |

  9. Let f: R rarr R be given by f(x)=(x+1)^(2)-1, x ge-1 . Then f^(-1)(x)...

    Text Solution

    |

  10. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  11. Let f : R rarr R be defined by f(x)=2 x+|x| then f(2 x)+f(-x)-f(x)=

    Text Solution

    |

  12. If f:[1,oo)to[1,oo) is given by f(x)=x+(1)/(x), then f^(-1)(x) equals ...

    Text Solution

    |

  13. If f:[1,oo)to[2,oo) is given by f(x)=x+(1)/(x), then f^(-1)(x) equals ...

    Text Solution

    |

  14. Let f(theta) =sin theta(sin theta + sin3theta) then f(theta) :

    Text Solution

    |

  15. If f(x)=3 x-5, then f^(-1)(x)=

    Text Solution

    |

  16. If f(1)=1 and f(n+1)=2 f(n)+1, then f(n) is

    Text Solution

    |

  17. If f(x)=alpha x^(2)+b x+c, then the values of a and b for which the i...

    Text Solution

    |

  18. If f(x)=1+alphax,alphane0 is the inverse of itself, then the value of ...

    Text Solution

    |

  19. Let f:[0.1] rarr[0,1] and g:[0,1] rarr[0,1] be two functions defined b...

    Text Solution

    |

  20. If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7, then sum...

    Text Solution

    |