Home
Class 12
MATHS
The maximum value of the function f(x)=s...

The maximum value of the function `f(x)=sin(x+pi/6)+cos(x+pi/6)` in the interval `(0,pi/2)` occurs at (a) `pi/(12)` (b) `pi/6` (c) `pi/4` (d) `pi/3`

A

`pi/12`

B

`pi/6`

C

`pi/3`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 11|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

The greatest value of the function f(x)=(sin2x)/(sin(x+pi/4)) on the interval (0,pi/2) \ i s

find the range of function f(x)=sin(x+(pi)/(6))+cos(x-(pi)/(6))

find the range of function f(x)=sin(x+(pi)/(6))+cos(x-(pi)/(6))

The period of the function f(x)=sin((2x+3)/(6pi)) , is

The period of the function f(x)=4sin^4((4x-3pi)/(6pi^2))+2cos((4x-3pi)/(3pi^2)) is

The maximum value of sin(x+pi/5)+cos(x+pi/5), where x in (0, pi/2), is attained at

Show that f(x)=sin x(1+cosx) is maximum at x=pi/3 in the interval [0,pi]dot

The value of c in Lagranges theorem for the function f(x)=logsinx in the interval [pi/6,(5pi)/6] is (a) pi/4 (b) pi/2 (c) (2pi)/3 (d) none of these

The solution(s) of the equation cos2x sin6x=cos3x sin5x in the interval [0,pi] is/are pi/6 (b) pi/2 (c) (2pi)/3 (d) (5pi)/6

The least value of the function f(x)= 2cosx +x in the closed interval [0,pi/2] is: A. 2 B. pi/6 + sqrt3 C. pi/2 D. The least value does not exist

ARIHANT MATHS ENGLISH-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |

  2. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

    Text Solution

    |

  3. If t a nbeta=(ns inalphacosalpha)/(1-ns in^2alpha) , show that tan(alp...

    Text Solution

    |

  4. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |

  5. The graph of the function y = cos x cos (x+2) - cos^(2)(x+1) is

    Text Solution

    |

  6. If f (theta) = |sin theta| + |cos theta|, theta in R, then

    Text Solution

    |

  7. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

    Text Solution

    |

  8. If u(n)=sin(n theta) sec^(n) theta, v(n)=cos(n theta) sec^(n) theta ,...

    Text Solution

    |

  9. If 0lex le(pi)/(3) then range of f(x)=sec((pi)/(6)-x)+sec((pi)/(6)+x) ...

    Text Solution

    |

  10. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

    Text Solution

    |

  11. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  12. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

    Text Solution

    |

  13. If cot^2x=cot(x-y)(x-z),t h e ncot2x is equal to (w h e r ex!=pi/4) ....

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. If cos x-sin alpha cot beta sin x=cos alpha, then the vlaue of tan (x/...

    Text Solution

    |

  16. If cos^4 theta sec^2 alpha,1/2 and sin^4 theta cosec^2 alpha are in ...

    Text Solution

    |

  17. The maximum value of (cos alpha(1))(cos alpha(2))... ( cos alpha(n)) u...

    Text Solution

    |

  18. Find the set of values of x , which satisfy sin x * cos^(3) x gt cos x...

    Text Solution

    |

  19. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

    Text Solution

    |

  20. For a positive integer n , let fn(theta)=(tantheta//2)(1+sectheta)(1+s...

    Text Solution

    |