Home
Class 12
MATHS
In the following incomplete sentences fi...

In the following incomplete sentences fill in the blanks such that the resulting sentences become true. If `tan alpha` is an integral solution of the inequation `4x^(2) -16x + 15 lt 0` and `cos beta` is the slope of the bisector of the angle in the first quadrant between the x and y axes then the value of `sin(alpha +beta)* sin(alpha - beta)` =__________.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

In the following incomplete sentences fill in the blanks such that the resulting sentences become true. Let cos 3x = 4cos x* cos(x +beta)* cos(x - beta) , 0 lt beta lt pi/2 Then the value of beta = _____.

If tan alpha is equal to the integral solution of the inequality 4x^(2)-16x+15<0 and cos beta 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 3sin alpha = sin beta!=0 , then the value of |(tan((alpha + beta)/2))/(tan((alpha-beta)/2))|

If alpha and beta are two solutions of the equation a tan x+b sec x=c ,then find the values of sin(alpha+beta) and cos(alpha+beta)

If x = sin alpha, y = sin beta, z = sin (alpha + beta) then cos (alpha + beta) =

If alphaandbeta are two angles in the first quadrant such that sin(alpha+beta)=1andsin(alpha-beta)=1//2 , find tan(alpha+2beta).

If 3sin alpha-sin beta ne 0, then the value of |(tan((alpha+beta)/(2)))/(tan((alpha-beta)/(2)))|

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. tan 22 1^circ/2 is a root of the equation - (1+x^(2))/(1- x^(2)) = sq...

    Text Solution

    |

  2. If tan theta= 2 is satisfied by alpha, beta then the value of frac{tan...

    Text Solution

    |

  3. Prove that sin 1^circ lt sin 1.

    Text Solution

    |

  4. If sin alpha = -3/5,pi lt alpha lt 3pi/2 then cos alpha/2 = 1/sqrt10

    Text Solution

    |

  5. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  6. If sin 17^circ *sin 43^circ *sin 77^circ = lambda sin 51^circ then lam...

    Text Solution

    |

  7. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  8. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  9. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  10. If un = 2cos n theta then u1un - u(n-1) is equal to

    Text Solution

    |

  11. If frac {x}{cos theta} = frac {y}{cos(theta -(2pi)/3)} = frac {z}{co...

    Text Solution

    |

  12. If cos alpha + cos beta + cos gamma = 0 then cos 3alpha + cos 3beta + ...

    Text Solution

    |

  13. tan 40^circ + 2tan 10^circ is equal to

    Text Solution

    |

  14. A factor of cos 4theta - cos 4phi is

    Text Solution

    |

  15. The chord AB of a circle subtends an angle of frac {2pi}{3} at a point...

    Text Solution

    |

  16. If sin alpha + cos alpha = lambda then find |sin^(6) alpha - cos^(6) a...

    Text Solution

    |

  17. Let f(theta) = (cos theta+ cot theta)/(sin theta+ tan theta) and the s...

    Text Solution

    |

  18. Prove that sinfrac {pi}{14} is a root of the equation 8x^(3) -4x^(2) -...

    Text Solution

    |

  19. In a convex polygon the interior angles are in AP, the smallest angle ...

    Text Solution

    |

  20. AB and CD are two parallel chords of a circle of radius 6 cm lying on ...

    Text Solution

    |