Home
Class 12
MATHS
If alpha and beta satisfy sinalpha cos b...

If `alpha` and `beta` satisfy `sinalpha cos beta=-1/2`, then the greatest value of `2cos alpha sin beta` is ……….

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section -H (Multiple True-false, type Questions)|9 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

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

Similar Questions

Explore conceptually related problems

If sin alpha cos beta=-(1)/(2) then find the range of values of cos alpha sin beta

If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+cot alpha tan beta is

If alpha + beta = 90^0 , show that the maximum value of cos alpha.cos beta is 1/2 .

If sin alpha.sinbeta - cos alpha.cos beta+1=0 , then find the value of cot alpha.tan beta .

Let alpha, beta be such that pi lt alpha-betalt3pi if sin alpha+sinbeta = -21/65 and cos alpha+cos beta = -27/65 , then the value of cos(alpha-beta)/(2) is

alpha and beta are acute angles and cos2alpha = (3cos2beta-1)/(3-cos2beta) then tan alpha cot beta =

Let alpha, beta, gamma be the measures of angle such that sin alpha+sin beta+sin gamma ge 2 . Then the possible value of cos alpha + cos beta+cos gamma is

If 2 sin 2alpha= | tan beta+ cot beta |alpha,beta, in((pi)/(2),pi) , then the value of alpha+beta is

sin alpha+sin beta=(1)/(4) and cos alpha+cos beta=(1)/(3) The value of cos(alpha+beta) is

If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)/2) is equal to-

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section I (subjective Type questions)
  1. If cos(theta - theta(1)) =1/(2sqrt(3)) and sin(theta-theta(2))=1/(3sqr...

    Text Solution

    |

  2. If cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-3/2 , prove that ...

    Text Solution

    |

  3. If alpha and beta satisfy sinalpha cos beta=-1/2, then the greatest va...

    Text Solution

    |

  4. If cos (pi/12) = (sqrt(2) + sqrt(6))/(4), then all x in (0,pi/2) such ...

    Text Solution

    |

  5. In a DeltaABC if 3sinA+4 cosB=6, 4 sinB+3cosA=1 then possible value (s...

    Text Solution

    |

  6. If (4 cos^(2)9^(@)-3)(4 cos^(2)27^(@)-3) =tanK^(@) , then K is equal ...

    Text Solution

    |

  7. In triangle ABC, prove that the maximum value of tanA/2tanB/2tanC/2i s...

    Text Solution

    |

  8. In a Delta ABC, angle B lt angle C and the values of B and C satisfy t...

    Text Solution

    |

  9. If A ={ theta : 2cos^2 theta + sintheta <=2} , and B = {theta: pi/2<=t...

    Text Solution

    |

  10. Solve 4cot2theta=cot^2theta-tan^2theta

    Text Solution

    |

  11. If 3tan(theta-15^0)=tan(theta+15^0)0<theta<90^0 , find theta .

    Text Solution

    |

  12. If cos 2theta=(sqrt(2)+1)(cos theta-(1)/(sqrt(2))), then the general v...

    Text Solution

    |

  13. Solve the equation sin^(2)ntheta - sin^(2)(n-1)theta = sin^(2)theta

    Text Solution

    |

  14. Solve the equation tan x + (cosx)/(sqrt(1+sin2x))=2.

    Text Solution

    |

  15. Let x and y, (0 lt x, y lt pi/2) satisfy 3sin^(2)x + 2sin^(2)y=1 and 3...

    Text Solution

    |

  16. If angles A and B satisfy sqrt(2)cosA = cosB + cos^(3)B and sqrt(2)sin...

    Text Solution

    |

  17. Let the sum of all solutions of the equation 3sqrt(3) sin^(3)x + cos^...

    Text Solution

    |

  18. Solve the equation, 4^(sin2x + 2cos^(2)x+ 2sin^(2)x)=64.

    Text Solution

    |

  19. If the equation sin6x + cos4x=-2 have a family of nonnegative solution...

    Text Solution

    |

  20. Find all values of x, y and k for which the system of equations. sin...

    Text Solution

    |