Home
Class 11
MATHS
If cos alpha + cos beta = 3/2 and sin al...

If `cos alpha + cos beta = 3/2 and sin alpha + sin beta = 1/2 and theta ` is the arithmetic mean of `alpha and beta` then `sin 2 theta + cos 2 theta `

A

`3/5`

B

`4/5`

C

`7/5`

D

`8/5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) ( LEVEL - II (ADVANCED) MORE THAN CORRECT ANSWER TYPE QUESTIONS)|5 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) ( LEVEL - II (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|5 Videos
  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

Similar Questions

Explore conceptually related problems

If cos alpha + cos beta = 1//2 and sin alpha + sin beta = 1//3, then

If cos alpha + cos beta = a, sin alpha + sin beta = b and theta is the arithmetic mean between alpha and beta then sin 2 theta + cos 2 theta is equal to

If cos alpha + cos beta =0 = sin alpha + sin beta " then " cos (alpha - beta )=

If sin alpha = sin beta and cos alpha = cos beta then

If cos alpha+ cos beta= a, sin alpha+ sin beta= b and alpha- beta= 2 theta . Then (cos 3 theta)/(cos theta)=

If cos alpha+cos beta=0=sin alpha+sin beta , then cos 2 alpha+cos 2beta is equal to

If sin alpha cos beta=-(1)/(2) , then cos alpha sin beta may be belong to

AAKASH SERIES-TRANSFORMATIONS -PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)
  1. If cos alpha + cos beta = 3/2 and sin alpha + sin beta = 1/2 and theta...

    Text Solution

    |

  2. x = cos 55^(@), y = cos 65^(@), z= cos 175^(@) " then " xy+yz+ zx=

    Text Solution

    |

  3. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

    Text Solution

    |

  4. The value of cos ^(2) 10^(@) cos 50^(@) + cos ^(2) 50^(@) is equal to

    Text Solution

    |

  5. If x,y,z are non zero real numbers and if x cos theta=y cos (theta+(2p...

    Text Solution

    |

  6. The value of sin ^(3) 10^(@) + sin ^(3) 50^(@) - sin ^(3) 70^(@) is eq...

    Text Solution

    |

  7. cot 16^(@) cot 44^(@) + cot 44^(@) cot 76^(@) - cot 76^(@) cot 16^(@)=

    Text Solution

    |

  8. The value of cot 70^(@) + 4 cos 70^(@) is

    Text Solution

    |

  9. cosec ""(360^(@))/(7) + cosec "" (540^(@))/(7)=

    Text Solution

    |

  10. Which of the following is not the value of sin 27^(@) - cos 27^(@) ?

    Text Solution

    |

  11. sin "" (pi)/(14) .sin "" (3pi)/(14).sin"" (5pi)/(14).sin""(7pi)/(14).s...

    Text Solution

    |

  12. Value of ( 3 + cot 80^(@) cot 20^(@))/(cot 80^(@) cot 20 ^(@)) is equ...

    Text Solution

    |

  13. In a Quadrilateral ABCD, cos A.cosB + sin C sin D=

    Text Solution

    |

  14. tan 9^(@) - tan 27^(@) - tan 63^(@) + tan 81^(@) =

    Text Solution

    |

  15. (sin ^(2) A - sin ^(2) B)/( sin A cos A - sin B cos B) is equal to

    Text Solution

    |

  16. ( sin 3 theta + sin 5 theta + sin 7 theta + sin 9 theta)/( cos 3 thet...

    Text Solution

    |

  17. Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha)...

    Text Solution

    |

  18. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

    Text Solution

    |

  19. (sin (n +1) A + 2 sin n A + sin (n-1) A)/( cos ( n -1) A - cos (n +1) ...

    Text Solution

    |

  20. If cos alpha+ cos beta= a, sin alpha+ sin beta= b and alpha- beta= 2 t...

    Text Solution

    |

  21. If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + s...

    Text Solution

    |