Home
Class 12
MATHS
If f(x)=cos^(2)x+cos^(2)((pi)/(3)+x)-cos...

If `f(x)=cos^(2)x+cos^(2)((pi)/(3)+x)-cosx cos((pi)/(3)+x)` then `f(pi//8)` is equal to.

Text Solution

Verified by Experts

The correct Answer is:
`1.00`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers |47 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based) Single Correct Answer Type Questions |10 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

Similar Questions

Explore conceptually related problems

f(x)=cos^(2)x+cos^(2)(pi/3+x)-cosx*cos(x+pi/3) is

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

If f(x)=|cos x-sin x|, then f'((pi)/(2)) is equal to

If f(x)=|cos x|, then f((3 pi)/(4)) is equal to

If f(x)=|cos x|, then f' ((3pi)/(4)) is equal to

Prove that the function: f(x)=cos^2x+cos^2(pi/3+x)-cosx*cos(pi/3+x) is constant function. Find the value of that constant

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

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

MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXERCISE (LEVEL 1) Single Correct Answer Type Questions
  1. The domain of the derivative of the function f(x)={{:(tan^(-1)x,,"if...

    Text Solution

    |

  2. The derivative of sin^(-1)((1-x^(2n))/(1+x^(2n))) with respect to x^(2...

    Text Solution

    |

  3. If sqrt(1-x^(6))+sqrt(1-y^(6))=a(x^(3)-y^(3)) and (dy)/(dx)=f(x,y)sqrt...

    Text Solution

    |

  4. If f(x)=x^(2)+tan x and f is inverse of g, then g'(x) is equal to

    Text Solution

    |

  5. Number of points of non-differentiability of f(x)=sin pi(x-[x]) in (-p...

    Text Solution

    |

  6. Suppose that f is differentiable function with the property f(x+y)=f(x...

    Text Solution

    |

  7. If y=f(x) satisfies f(x+y)=2f(x)+xf(y)+y(f(x))^(1//3 for all x, y in R...

    Text Solution

    |

  8. If f(0)=0,f'(0)=4 and g(x)=f(-x+fof(x)) then g'(0) is equal to

    Text Solution

    |

  9. If f(x)=x^(6)+e^(x//7) and fog(x)=x^(3), then g'(1) is equal to

    Text Solution

    |

  10. Let (a-b cos y)(a+b cos x)=a^(2)-b^(2) and (dy)/(dx)=((sinx)f(y))/((a+...

    Text Solution

    |

  11. If y=(x^(2)+1)sinx then [y(18)"("pi//2+((pi^(2))/(4)+1)] is equal to

    Text Solution

    |

  12. If f(x)=cos^(2)x+cos^(2)((pi)/(3)+x)-cosx cos((pi)/(3)+x) then f(pi//8...

    Text Solution

    |

  13. If y=3t-t^(3),x=3t^(2) satisfies Ay(2)(y-sqrt(3x))=x+3 then A is equal...

    Text Solution

    |

  14. If f and g are two functions having derivative of order three for all ...

    Text Solution

    |

  15. If y=sin^(-1)sqrt((1-x)/(1+x)) then "|"(dy)/(dx)|(x=1//2)| is equal to...

    Text Solution

    |

  16. Suppose that f is differentiable function with the property f(x+y)=f(x...

    Text Solution

    |

  17. If y=rx and x=tx, all variables being functions of x. If suffixes deno...

    Text Solution

    |

  18. Let (a-b cos y)(a+b cos x)=a^(2)-b^(2) and (dy)/(dx)=(sin x f(y))/((a+...

    Text Solution

    |

  19. Let f be a differentiable function whose range is contained in [0,oo) ...

    Text Solution

    |

  20. Let f be a differentiable function satisfying f(-x)f'(x)=f(x)f'(-x) fo...

    Text Solution

    |