Home
Class 12
MATHS
Let f(x)=cos^(2)((pi)/(4)+x)+(sinx-cosx)...

Let `f(x)=cos^(2)((pi)/(4)+x)+(sinx-cosx)^(2), AA x in R` then max`(f(x))=` _________.

Text Solution

Verified by Experts

The correct Answer is:
`3.00`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers|48 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 Single Correct Answer Type Questions)|30 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

Let |f (x)| le sin ^(2) x, AA x in R, then

Let f(x)={x^(2)|(cos)(pi)/(x)|,x!=0 and 0,x=0,x in R then f is

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

Define f : R to R by f(x) = 4 cos^(4)((x-pi)/(4pi^(2))) - 2 cos((x-pi)/(2pi^(2))) AA x in R If the period of f is kpi^(3) , then k = ……………..

Let f(x) = sin(pi[x]) + sin([pi^(2)]x) + cos ([-pi^(2)]x/3) AA x in R , then f(pi//4) is equal to

Let f(x)=max{|sin x|,|cos x|}AA x in R then minimum value of f(x) is

Let f(x) =sinx + 2 cos^(2)x (pi)/(4)lt=x lt= (3pi)/(4) . Then f attains its

Let f'(sin x) 0AA x in(0,(pi)/(2)) and g(x)=f(sin x)+f(cos x), then

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (Numerical Answer Type Questions)
  1. 4 sin((pi)/(18))sin((5pi)/(18))sin((7pi)/(18))=

    Text Solution

    |

  2. If cot (theta-alpha) cot(theta-beta)=cot^(2) theta, then 2(1+cot(2the...

    Text Solution

    |

  3. If alpha=(pi)/(28), and a=(sin alpha)/(cos(3alpha))+(sin (3alpha))/(c...

    Text Solution

    |

  4. Let alpha=pi//12 , and E=(1+cos alpha)(1+cos(3alpha))(1+cos(5alpha))(1...

    Text Solution

    |

  5. Suppose f(theta)=cos theta cos(2theta) cos(2^(2) theta)-cos(2^(n) t...

    Text Solution

    |

  6. For theta in R, let f(theta)=cos^(2)theta+cos^(2)(theta+pi//6)+sin...

    Text Solution

    |

  7. Let a(n)=sum(k=1)^(n)tan^(-1)((2^(k))/(2+4^(k))), then tan(a(oo)-a(2))...

    Text Solution

    |

  8. If (sin^(2)x)/(1+sin^(2)x)+(cos^(2)x)/(1+cos^(2)x)=2+(k)/(cos(4x)-17) ...

    Text Solution

    |

  9. (tan 10^(@)+tan 70^(@)-tan50^(@))^(2)= .

    Text Solution

    |

  10. tan^(6)((pi)/(9))-33 tan^(4)((pi)/(9))+27tan^(2)((pi)/(9))= .

    Text Solution

    |

  11. Let f(x)=cos^(2)((pi)/(4)+x)+(sinx-cosx)^(2), AA x in R then max(f(x))...

    Text Solution

    |

  12. Let M = the maximum value of (1)/(9 sin^(2)x+24 sin x cosx+19cos^(2...

    Text Solution

    |

  13. Let alpha=(1)/(8) sum(k=0)^(10)sec((7pi)/(12)+(kpi)/(2)) sec((7pi)/(12...

    Text Solution

    |

  14. Suppose for 0 lt x lt (pi)/(2), (sin(7x))/(sinx)=a cos(6x)+b cos(4x)+c...

    Text Solution

    |

  15. If x in [0, 2pi], then the number of solutions of sin^(5)x-cos^(5)x=(1...

    Text Solution

    |

  16. If x in [0, 2pi], then the number of solutions of sin^(3)x+cos^(3)x=1,...

    Text Solution

    |

  17. If x in [0, 2pi], then the number of solutions of 4-4(cosx-sin x)-sin2...

    Text Solution

    |

  18. The number of solutions of 2(cosx+cos(2x))+sin(2x)(1+2cosx)=2sinx lyin...

    Text Solution

    |

  19. The number of solutions of tanx tan(x+pi//3)tan(x+2pi//3)= -1 lying...

    Text Solution

    |

  20. The number of values of x in (0, 2pi) satisfying the equation |cosx|^(...

    Text Solution

    |