Home
Class 11
MATHS
If sin(theta+alpha)=a and sin (theta+ be...

If `sin(theta+alpha)=a and sin (theta+ beta)` , then `cos2(alpha-beta)-4ab cos(alpha -beta)` =

A

`1-a^2-b^2`

B

`1-2a^2-2b^2`

C

`2+a^2-b^2`

D

`2-a^2-b^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|7 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - I) (Straight Objective Type Questions)|22 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I) (Integer Type Questions)|6 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos

Similar Questions

Explore conceptually related problems

If sin (theta + alpha) = a and sin (theta + beta) = b,"then" cos 2 (alpha - beta) - 4ab cos (alpha - beta) =

If cos(theta - alpha)=a, cos(theta-beta)=b , then sin^(2)(alpha -beta) + 2abcos(alpha-beta)=0

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

If sin alpha + sin beta = a , cos alpha + cos beta = b " then cos ( alpha + beta ) =

If tan alpha and tan beta are the roots of the equation x^(2) +px + q = 0 , then the value of sin^(2) (alpha +beta) + p cos (alpha + beta) sin (alpha + beta) + q cos^(2) (alpha + beta) is

Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha))/(cos(theta-beta))=(c )/(d) then (ac+bd)/(ad+bc)=

If sin alpha + sin beta = a , cos alpha + cos beta = b " then sin ( alpha + beta ) =

sin alpha=sinbeta, cos alpha=cos beta then

(i) sin (alpha + beta) = sin alpha cos beta + cos alpha sin beta) (ii) sin (alpha-beta)= sin alpha cos beta- cos alpha sin beta Proof

If alpha,beta are complementary angles and sin alpha = (3)/(5) , then sin alpha cos beta - cos alpha sin beta =

AAKASH SERIES-MULTIPLE & SUBMULTIPLE -PRACTICE SHEET (EXERCISE - I) (LEVEL - I) (Straight Objective Type Questions)
  1. If thetaltpi/16 then sqrt(2+sqrt(2+sqrt(2+2cos8theta)))=

    Text Solution

    |

  2. sqrt(2+sqrt(2+sqrt(2+sqrt(2))))=

    Text Solution

    |

  3. If sin(theta+alpha)=a and sin (theta+ beta) , then cos2(alpha-beta)-4a...

    Text Solution

    |

  4. 1/(cos290^@)+1/(sqrt3sin250^@)=lamda then 3lamda^2 =

    Text Solution

    |

  5. sqrt3"cosec"20^(@) - sec20^@ =

    Text Solution

    |

  6. The value of sin^(2) 46^(0) + sin^(2) 14^(0) + sin 46^(0) sin 14^(0) =

    Text Solution

    |

  7. (cos A - cos 3A)/(cos A) + (sin A + sin 3A)/(sin A)=

    Text Solution

    |

  8. 2 sin^(2) beta + 4 cos( alpha+ beta) sin alpha sin beta + cos ( 2 alph...

    Text Solution

    |

  9. If sinbeta is geometric mean between sin alpha and cos alpha , then c...

    Text Solution

    |

  10. (sin3alpha)/(cos2alpha)lt0 if alpha lies in

    Text Solution

    |

  11. If f((2tanx)/(1+tan^2x))=((cos2x+1)(sec^2x+2tanx))/(2) then f(4) =

    Text Solution

    |

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

    Text Solution

    |

  13. If sin 2 theta = cos 3 theta and theta is an acute angle, then sin the...

    Text Solution

    |

  14. The value of tan6^@ tan42^@ tan66^@ tan78^@ is

    Text Solution

    |

  15. cos^(6) A + sin^(6) A = 1 - k sin^2 (2A) implies k =

    Text Solution

    |

  16. If 2 tan""(alpha)/2= tan""(beta)/2 then (3+5cos beta)/(5+3cos beta)=

    Text Solution

    |

  17. If cos alpha+cos beta=0=sin alpha+sin beta, then cos 2 alpha+cos 2beta...

    Text Solution

    |

  18. If tanx = (2b)/(a-c) , a ne c, y = a cos^2 x + 2b sinx.cos x + c sin^2...

    Text Solution

    |

  19. If cos theta =(a cos phi+b)/(a+bcosphi) then ("tan"(theta)/2)/("tan"(p...

    Text Solution

    |

  20. If x1 and x2 are two distinct roots of the equation a cos x + bsin x =...

    Text Solution

    |