Home
Class 12
MATHS
Maximum value of sin (x + (pi)/(6)) + co...

Maximum value of `sin (x + (pi)/(6)) + cos (x + (pi)/(6))` is

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

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (2) (TRUE AND FALSE )|2 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (2) (FILL IN THE BLANKS )|8 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (1) ((fill in the blanks)|1 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the maximum value of 3sin(x+(pi)/(9))+5cos(x+(pi)/(9)), AA x in R

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

Range of cos(x+(pi)/(6))cos(x-(pi)/(6)) is

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

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

Find maximum and minimum values of 2sin(theta+(pi)/(6))+sqrt(3)cos(theta-(pi)/(6))

lim_ (x rarr (pi) / (6)) (2 (sin x cos ((pi) / (6)) - cos x sin ((pi) / (6)))) / (x- (pi) / (6))

ML KHANNA-TRIGONOMETRICAL EQUATIONS -PROBLEM SET (2) (MULTIPICE CHOICE QUESTIONS)
  1. The equation cosx+sinx=2 has

    Text Solution

    |

  2. The number of solutions of the equation 2(sin^(3)x+cos^(3)x)-3(sin x+c...

    Text Solution

    |

  3. Maximum value of sin (x + (pi)/(6)) + cos (x + (pi)/(6)) is

    Text Solution

    |

  4. The equaltion a sin x+b cos x=c, where |c|gtsqrt(a^(2)+b^(2)) has

    Text Solution

    |

  5. The number of integral value of k for which the equation 7cos x+5sin x...

    Text Solution

    |

  6. If r sin theta = sqrt3, r + 4 sin theta = 2 (sqrt3 + 1), 0 le theta ...

    Text Solution

    |

  7. If r gt 0, - pi le theta le pi and r, theta satisfy r sin theta =3 ...

    Text Solution

    |

  8. Minimum value of 2^(sinx)+2^(cosx) is

    Text Solution

    |

  9. If tan a theta-tan b theta=0, then prove that the values of theta form...

    Text Solution

    |

  10. If cos p theta+cos q theta=0, then prove that the different values of ...

    Text Solution

    |

  11. Find the most general value of theta which satisfies the equation s...

    Text Solution

    |

  12. The most general value of theta which satisfy both the equation cos th...

    Text Solution

    |

  13. Find the most general value of theta which satisfies the equation s...

    Text Solution

    |

  14. Find the general values of theta which satisfies the equation tan th...

    Text Solution

    |

  15. The most general value of theta which satisfies both the equation in G...

    Text Solution

    |

  16. If cos 3x+sin (2x-(7pi)/6)=-2, then x is equal to (k in Z)

    Text Solution

    |

  17. The most general value of theta which satisfies both the equation in I...

    Text Solution

    |

  18. The most general value of theta which satisfies both the equation in ...

    Text Solution

    |

  19. General solution of the equation tan theta + tan 4 theta + tan 7 the...

    Text Solution

    |

  20. If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

    Text Solution

    |