Home
Class 12
MATHS
The maximum value of 1+sin(pi/4+theta)+2...

The maximum value of `1+sin(pi/4+theta)+2cos(pi/4-theta)` for real values of `theta` is

A

3

B

5

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

The maximum value of 1+sin((pi)/(6)+theta)+2cos((pi)/(3)-theta) for real values of theta is

The maximum value of 1+sin((pi)/(4) +theta) +2cos((pi)/(4) - theta) for all real values of theta is :

The maximum values of 3 costheta+5sin(theta-(pi)/(6)) for any real value of theta is:

If A=sin^(2)theta+cos^(4)theta, then for all real values of theta

If sin(pi cos theta)=cos(pi sin theta), then of the value cos(theta+-(pi)/(4)) is

The maximum value of sin(theta+(pi)/(6))+cos(theta+(pi)/(6)) is attained at theta in(0,(pi)/(2))

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. If sintheta=1/2, cosphi=1/3 then theta+phi belongs to, where 0<theta ,...

    Text Solution

    |

  2. The range of f(theta)=3cos^2theta-8sqrt(3) cos theta sin theta + 5 sin...

    Text Solution

    |

  3. The maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) for real value...

    Text Solution

    |

  4. The value of cos(pi/4)*cos(pi/8)*cos(pi/16)cos(pi/(2^n)) equals

    Text Solution

    |

  5. tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

    Text Solution

    |

  6. tanA +tanB + tanC = tanA tanB tanC if

    Text Solution

    |

  7. The value of sin pi/n + sin (3pi)/n+ sin (5pi)/n+... to n terms is equ...

    Text Solution

    |

  8. underset(r=1)overset(n-1)(sum)cos^(2)""(rpi)/(n) is equal to

    Text Solution

    |

  9. If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal...

    Text Solution

    |

  10. The value of sin (pi/14). sin((3pi)/14). sin( (5pi)/14)………. Sin ((13pi...

    Text Solution

    |

  11. In triangle A B C ,tanA+tanB+tanC=6a n dtanAtanB=2, then the values of...

    Text Solution

    |

  12. let a=cosA+cosb-cos(A+B) and b=4sin(A/2)sin(B/2)cos((A+B)/2) Then a-b ...

    Text Solution

    |

  13. The value of tan^6(15^@)-15tan^4(15^@)+15tan^2(15^@)-3 is

    Text Solution

    |

  14. If A, B, C are in A.P., then correct relation is cotA=(sinB+sinC)/(co...

    Text Solution

    |

  15. cos(pi/14)+cos((3pi)/14)+cos((5pi)/14)=kcot(pi/14) then k is equal t...

    Text Solution

    |

  16. The minimum value of 8(cos2theta+cos theta) is equal to

    Text Solution

    |

  17. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |

  18. The value of tan7 1/2^@ equal to

    Text Solution

    |

  19. If tanalpha=sqrt(a), where a is a rational number whch is not a perfec...

    Text Solution

    |

  20. The value of 2tan18^@+3sec18^@-4cos18^@ is

    Text Solution

    |