Home
Class 11
MATHS
If alpha and beta are solutions ofsin^2x...

If `alpha` and `beta` are solutions of`sin^2x+asinx+b=0` as well as of`cos^2x+c cosx+d=0` then `sin(alpha+beta)` is equal to

A

`(2bd)/(b^2+d^2)`

B

`(a^2+c^2)/(2ac)`

C

`(b^2+d^2)/(2bd)`

D

`(2ac)/(a^2+c^2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

sin alpha + sin beta = a "and" cos alpha + cos beta = b sin (alpha + beta) =

sin alpha + sin beta = a "and" cos alpha + cos beta = b cos (alpha + beta) =

If "cot"(alpha+beta)=0, then "sin"(alpha+2beta) can be

If tanalpha and tanbeta be the roots of the equation (x^2+px+q=0) then the value of the expression sin^2(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+qcos^2(alpha+beta) is

If sin 2 alpha + sin 2 beta = 3 "and" cos 2 alpha + cos 2 beta = 4,"then"- sin 2 ( alpha + beta)

If tanalpha is equal to the integral solution of the inequality 4x^2-16 x+15<0 and cosbeta is equal to the slope of the bisector of the first quadrant, then sin(alpha+beta)sin(alpha-beta) is equal to (a) 3/5 (b) 3/5 (c) 2/(sqrt(5)) (d) 4/5

If sin 2 alpha + sin 2 beta = 3 "and" cos 2 alpha + cos 2 beta = 4,"then"- cos2 (alpha + beta)=

If sin 2 alpha + sin 2 beta = 3 "and" cos 2 alpha + cos 2 beta = 4,"then"- tan2 (alpha + beta)=

If tan(alpha/2) and tan(beta/2) are the roots of the equation 8x^2-26x+15=0 then cos(alpha+beta) is equal to

Let , alpha, beta in RR be such that underset(x rarr 0)lim (x^(2) sin (beta x))/(alpha x - sin x) = 1 . Then 6(alpha + beta) equals

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If sin^2theta=sinphi cosphi then the value of cos2theta is

    Text Solution

    |

  2. If in a triangle ABC,sin^2A+sin^2B+sin^2C=2 then the triangle is alway...

    Text Solution

    |

  3. If alpha and beta are solutions ofsin^2x+asinx+b=0 as well as ofcos^2x...

    Text Solution

    |

  4. If thetane(2n+1)pi/2. ninI, then the least value of (sintheta+cosecthe...

    Text Solution

    |

  5. If in a triangle ABC ,(sin A+sin B +sin C)(sinA+sinB-sin C)=3sinAsinB ...

    Text Solution

    |

  6. Let n be a fixed positive integer such that sin(pi/(2n))+cos(pi/(2n))=...

    Text Solution

    |

  7. Minimum value of4x^2-4x abs(sintheta)-cos^2theta is equal to

    Text Solution

    |

  8. The maximum value of the expression abs(sqrt((sin^2x+2a^2))-sqrt((2a^2...

    Text Solution

    |

  9. For 0ltthetaltpi/2 the solution of underset (m=1)overset6sumcosec(thet...

    Text Solution

    |

  10. If tanalpha and tanbeta be the roots of the equation (x^2+px+q=0) then...

    Text Solution

    |

  11. If tan9theta=3/4(where0ltthetaltpi/18)then the value of (3cosec 3theta...

    Text Solution

    |

  12. If A,B,C are interior angles of a triangle ABC such that (cosA+cosB+co...

    Text Solution

    |

  13. If tantheta+sectheta=e^x then costheta equals

    Text Solution

    |

  14. If lambda be the minimum value of , y=(sinx+cosecx)^2+(cosx+secx)^2+(t...

    Text Solution

    |

  15. If (sqrt2cosx+sqrt2sinx+sqrt7)m=1 holds then

    Text Solution

    |

  16. if costheta1+costheta2+costheta3=3then sin^2theta1+sin^4theta2+sin^6th...

    Text Solution

    |

  17. If sintheta+cosectheta=2 then sin^ntheta+cosec^ntheta=

    Text Solution

    |

  18. If tan(alpha/2) and tan(beta/2) are the roots of the equation 8x^2-26x...

    Text Solution

    |

  19. 4sin^2x +4cos^2xgek then k is

    Text Solution

    |

  20. If sin A,cos A and tan A are in G.P. then cos^3A+cos^2A is equal to

    Text Solution

    |