Home
Class 11
MATHS
If alpha+beta=pi/2, then the maximum val...

If `alpha+beta=pi/2`, then the maximum value of `cosalpha cos beta` is:

A

0

B

1

C

`1/2`

D

`1/4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|67 Videos

  • STRAIGHT LINES

    JBD PUBLICATION|Exercise EXAMPLE|39 Videos

Similar Questions

Explore conceptually related problems

Let a,bgt0 and alpha=(hati)/(a)+(4hatj)/(b)+bhatk and beta=bhati+ahatj+(hatk)/(b) , then the maximum value of (30)/(5+alpha*beta) is

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

If alpha, beta be such that pi < alpha- beta < 3 pi . If sin alpha +sin beta= -21/65 and cos alpha + cos beta = -27/65 , then the value of cos frac (alpha-beta)(2) is :

If alpha+beta=90^@ , then find the maximum and minimum values of sin alpha sin beta .

If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)- beta + 1/2) = 0 have meal roots, then find all the possible value of cos alpha + cos^(-1) beta .

If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)- beta + 1/2) = 0 have real roots, then find all the possible value of cos alpha + cos^(-1) beta .

If alpha, beta and gamma are angles made by the line with positive direction of X-axis, Y-axis and Z-axis respectively, then find the value of cos2alpha+cos2beta+cos2gamma .

If sin alpha=15/17 and cos beta=12/13 , find the values of : cos (alpha-beta) .

JBD PUBLICATION-TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. If alpha+beta=pi/2, then the maximum value of cosalpha cos beta is:

    Text Solution

    |

  2. Prove that:cos(x+135^@)-cos(x-135^@)=-sqrt2 sinx

    Text Solution

    |

  3. Find the solutions of the equation sinx=-sqrt3/2 when x in [0,pi]

    Text Solution

    |

  4. Prove that:(cos7x+cos5x)/(sin7x-sin5x)=cotx

    Text Solution

    |

  5. Prove that: sin3x=3sinx-4sin^3x

    Text Solution

    |

  6. Prove the following: (sinx + sin3x)/(cosx + cos3x)=tan 2x

    Text Solution

    |

  7. Find the radian measures corresponding to the following degree measure...

    Text Solution

    |

  8. Find the radian measures corresponding to the followind degree measure...

    Text Solution

    |

  9. A wheel makes 360 revolutions in one minute. Through how many radians ...

    Text Solution

    |

  10. A circular wire of radius 7.5 cm is cut and bent so as to lie along th...

    Text Solution

    |

  11. Find the values of other five trignometrtic functions in each of the f...

    Text Solution

    |

  12. Find the values of other five trignometrtic functions in each of the f...

    Text Solution

    |

  13. Find the values of the trignometric functions in the following: cosec(...

    Text Solution

    |

  14. Find the values of the trignometric functions in the following: tan (1...

    Text Solution

    |

  15. Find the values of: sin((-11pi)/3)

    Text Solution

    |

  16. Show that no value of theta can satisfy the equations: 6 sec^2theta-5s...

    Text Solution

    |

  17. Find the value of: cos((5pi)/12)

    Text Solution

    |

  18. Find the value of: tan((13pi)/12)

    Text Solution

    |

  19. Prove the following: cos(pi/4-x)cos(pi/4-y)-sin(pi/4-x)sin(pi/4-y)= si...

    Text Solution

    |

  20. Prove the following: sin^2 6x-sin^2 4x = sin 2x sin 10x

    Text Solution

    |

  21. Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

    Text Solution

    |