Home
Class 12
MATHS
If alpha, beta are different values of t...

If `alpha, beta` are different values of `theta` satisfying the equation `5 cos theta + 12 sin theta = 11` then the value of `sin (alpha + beta)=`

A

`119//120`

B

`5//12`

C

`120//169`

D

`12//5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 1|4 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 2|4 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

Similar Questions

Explore conceptually related problems

The general value of theta satisfying the equation 2sin^(2)theta-3 sin theta-2=0 is (n in Z)

If alpha, beta are different values of x satisfying a cos x + b sin x = c then tan ((alpha + beta)/(2))=

The values of theta satisfying sin 5theta = sin 3theta-sin theta and 0 lt theta lt (pi)/(2) are

If alpha, beta are the solutions of a cos 2theta + b sin 2theta = c , then tan alpha tan beta=

sin alpha + sin beta = 1/4 and cos alpha + cos beta = 1/3 The value of sin (alpha + beta) is

The number of values of theta satisfying 4 cos theta + 3 sin theta = 5 as well as 3 cos theta + 4 sin theta = 5 is

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. The smallest positive real value of p for which the equation cos (p si...

    Text Solution

    |

  2. The smallest positive values of x and y which satisfy tan (x-y)=1, sec...

    Text Solution

    |

  3. The solution of (81)^(sin^(2)x) +(81)^(cos^(2)x)=30 in [0, pi//2] is

    Text Solution

    |

  4. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

    Text Solution

    |

  5. The equation e^(sin x)-e^(-sin x)-4=0 has

    Text Solution

    |

  6. The equation sin^(4)x -2cos^(2)x + a^(2)=0 is solvable if

    Text Solution

    |

  7. The equation cos^(4)x-(a+2)cos^(2)x-(a+3)=0 possesses a solution if

    Text Solution

    |

  8. If (1)/(6) sin x, cos x, tan x are in G.P. then x is equal to

    Text Solution

    |

  9. The minimum value of 2^(sin x)+2^(cos x) is

    Text Solution

    |

  10. If tan px = cot qx then the solutions are in

    Text Solution

    |

  11. If x in (-pi, pi) such that y=1 +|cos x|+|cos^(2)x|+|cos^(3)|+ …. And ...

    Text Solution

    |

  12. The value of x which satisfies 8^(1+|cos x|+|cos x|^(2))+.... =64 in [...

    Text Solution

    |

  13. If the equation (cos p - 1)x^(2) + cos p x + sin p =0 in the varable x...

    Text Solution

    |

  14. In a triangle ABC, angle A gt angle B. If the measures of angle A, ang...

    Text Solution

    |

  15. If alpha, beta are different values of x satisfying a cos x + b sin x ...

    Text Solution

    |

  16. If alpha, beta are solutions of a cos x + b sin x = c then cos alpha +...

    Text Solution

    |

  17. If alpha, beta are solutions of a cos x + b sin x = c then sin alpha +...

    Text Solution

    |

  18. If alpha, beta are the solutions of a cos 2theta + b sin 2theta = c, t...

    Text Solution

    |

  19. If alpha, beta are different values of theta satisfying the equation 5...

    Text Solution

    |

  20. If alpha, beta are solutions of a tan theta + b sec theta = c then ta...

    Text Solution

    |