Home
Class 11
MATHS
If cos(theta-alpha) = a and cos(theta-be...

If `cos(theta-alpha) = a` and `cos(theta-beta) = b` then the value of `sin^2(alpha-beta) + 2ab cos(alpha-beta)`

A

`1-a^(2) -b^(2)`

B

`a-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

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|101 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If cos (theta - alpha) = a, cos (theta - beta) = b , then the value of sin^(2) (alpha - beta) + 2ab cos (alpha - beta) is

s(theta-alpha)=a and cos(theta-beta)=b, then sin^(2)(alpha-beta)+2ab cos(alpha-beta)=

If cos (theta -alpha) =a, sin (theta - beta) =b, then cos ^(2) (alpha - beta) + 2 ab sin (alpha - beta) is equal to

It is given that cos(theta-alpha)=a, cos(theta-beta)=b What is sin^(2)(alpha-beta)+2abcos(alpha-beta) equal to ?

If sin(theta+alpha)=a and sin(theta+beta)=b, prove that cos2(alpha-beta)-4ab cos(alpha-beta)=1-2a^(2)-2b^(2)

If cos(theta-alpha)=a,sin(theta-beta)=b, prove that a^(2)-2ab sin(alpha-beta)+b^(2)=cos^(2)(alpha-beta)

If sin alpha-sin beta=a and cos alpha+cos beta=b then write the value of cos(alpha+beta)

If sin alpha-sin beta=a and cos alpha+cos beta=b then write the value of cos(alpha+beta)

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
  1. If sec 2 theta =p + tan 2 theta, then the value of sin^(2) theta in ...

    Text Solution

    |

  2. If theta and phi are angles in first quadrant and tantheta=1/7 and sin...

    Text Solution

    |

  3. If cos(theta-alpha) = a and cos(theta-beta) = b then the value of sin^...

    Text Solution

    |

  4. If tan^2theta=2tan^2varphi+1,t h e ncos2theta+sin^2varphi equals -1 (...

    Text Solution

    |

  5. If tantheta-cottheta=aandsintheta+costheta=b(b^2-1)^2(a^2+4) is equal...

    Text Solution

    |

  6. If sin A sin 2A = x and cos A + cos 2A = y, then (x^(2)+y^(2)) (x^(2)+...

    Text Solution

    |

  7. If tan x= (2b)/(a-c), a!=c, y = a cos^2 x +2b sin x*cos x + c sin^2x, ...

    Text Solution

    |

  8. 8*sin(x/8)*cos(x/2)*cos(x/4)*cos(x/8)=

    Text Solution

    |

  9. If x= cos 10^(@)cos 20^(@) cos 40^(@), then the value of x is

    Text Solution

    |

  10. If theta =(pi)/(2 ^(n) +1), then cos theta cos 2 theta cos 2^(2) the...

    Text Solution

    |

  11. cos(pi/7)cos((2pi)/7)cos((4pi)/7)=

    Text Solution

    |

  12. The value of co s pi/5 co s.2pi / 5 c o s 4pi / 5 co s 8pi / 5 =

    Text Solution

    |

  13. The value of (1)/(sin 10^(@)) -(sqrt3)/(cos 10^(@)) is equal to

    Text Solution

    |

  14. If |tanA|lt1and |A|is acute, then (sqrt(1+sin2A)+sqrt(1-sin2A))/(sqrt...

    Text Solution

    |

  15. If tanx=b/a then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

    Text Solution

    |

  16. Show that: t a n(60^0+theta)t a n(60^0-theta)=(2cos2theta+1)/(2cos2the...

    Text Solution

    |

  17. Maximum value of sin^4 theta + cos^4 theta is

    Text Solution

    |

  18. Let B =2 sin ^(2) x - cos 2x, then

    Text Solution

    |

  19. If 3 sin 2 theta = 2 sin 3 theta and 0 lt theta lt pi, then sin theta ...

    Text Solution

    |

  20. If sin 2A =sin 3A and 0 le A le 90^(@), then A is equal to

    Text Solution

    |