Home
Class 11
MATHS
If y(x)=sin x + cos^(2)x, then prove tha...

If `y(x)=sin x + cos^(2)x`, then prove that:
`f(x)=f(pi-x)`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2D|18 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2E|5 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2B|14 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos

Similar Questions

Explore conceptually related problems

If f(x)=2x+[x]+sin x cos x, Then f is:

If f(x)=3 cos x and g(x)=sin^(2)x , the evaluate: (f+g)((pi)/(2))

If f (X) = 2 sin 3 x + 3 cos 3 x , then at x = ( 5 pi)/( 6) , f (x) is

If f(x) =cos (sin x^(2)) , then f'(x) at x=sqrt(pi/2) is

Let (d)/(dx)(f(x))=((sin^(12)x-cos^(12)x)/((sin^(2)x-cos^(2)x)(1-3sin^(2)x cos^(2)x))) be such that f(0)=0 then f((pi)/(2)) equals (k pi)/(16). Find the value of k(k in N)

20. If f(x)=sin^(2)x-cos^(2)x, Then find f((pi)/(12))

If f'(x)=sin x+sin4x cos x then f'(2x^(2)+(pi)/(2))=

If f'(x)=3x^(2)sin x-x cos x x!=0 f(0)=0 then the value of f((1)/(pi)) is

NAGEEN PRAKASHAN-RELATIONS AND FUNCTIONS-Exercise 2C
  1. If f(x)=2x-5 , then evaluate the following: (i) f(0) (ii) f(7) (...

    Text Solution

    |

  2. If f(x)=x^(2), then evaluate: (f(1*2)-f(1))/(1*2-1)

    Text Solution

    |

  3. If f(x)=x^(2) , then evaluate : (f(x+1)-f(x-1))/(4x)

    Text Solution

    |

  4. If f(x)=(x)/(x-1), then evaluate : (f(a//b))/(f(b//a))

    Text Solution

    |

  5. If f(x)=(x-1)/(x+1), then prove that: (f(b)-f(a))/(1+f(b)*f(a))=(b-a...

    Text Solution

    |

  6. If f(x)=(1)/(1-x), then prove that : f[f{f(x)}]=x

    Text Solution

    |

  7. If (x)=tan x, the prove that :f(x)+f(-x)=0

    Text Solution

    |

  8. If f(x)=x+(1)/(x), then prove that : {f(x)}^(3)=f(x^(3))+3*f((1)/(x)...

    Text Solution

    |

  9. If y=f(x)=(ax-b)/(bx-a), the prove that : x=f(y)

    Text Solution

    |

  10. If y(x)=sin x + cos^(2)x, then prove that: f(x)=f(pi-x)

    Text Solution

    |

  11. If f(x)=(1-x^(2))/(1+x^(2)), then prove that: f(tan theta)=cos 2thet...

    Text Solution

    |

  12. If f(x)=x^2+x+1, then find the value of 'x' for which f(x-1) =f(x)

    Text Solution

    |

  13. If f(x)=log(e)x, then prove that :f(xyz)=f(x)+f(y)+f(z)

    Text Solution

    |

  14. If f(x)=log(e)x and g(x)=e^(x), then prove that : f(g(x)}=g{f(x)}

    Text Solution

    |

  15. If f(x)=sqrt((1-x)/(1+x)), then evalaute :f(cos 2theta)

    Text Solution

    |

  16. If f(x)="log"(1+x)/(1-x) , then prove that: f((2x)/(1+x^(2)))=2f(x)

    Text Solution

    |

  17. If f:R to R is defined as: f(x)= {{:(2x+1, "if",x gt 2),(x^(2)-1,"if...

    Text Solution

    |

  18. If f(x)=cos (logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

    Text Solution

    |

  19. If f(x)=3 cos x and g(x)=sin^(2)x, the evaluate: (f+g)((pi)/(2))

    Text Solution

    |

  20. If f(x)=x^(2) and g(x)=2x , then evaluate, (i) (f+g)(3)" "(ii) (f...

    Text Solution

    |