Home
Class 11
MATHS
Let S1 be the set of all those solutio...

Let `S_1` be the set of all those solutions of the equation `(1+a)costhetacos(2theta-b)=(1+a\ cos2theta)"cos"(theta-b)` which are independent of `a\ a n d\ b` and `S_2` be the set of all such solutions which are dependent on `a\ a n d\ bdot` The set `S_1a n d\ S_2` are given by

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Let S_(1) be the set of all those solution of the equation (1+a) cos theta cos(2 theta-b)=(1+a cos 2 theta) cos (theta -b) which are independent of a and b and S_(2) be the set of all such solutions which are dependent on a and b. Then The set S_(1) and S_(2) are

The solution of the equation 1-"cos" theta = "sin" theta "sin" (theta)/(2) is

The number of solution the equation cos(theta)cos(pitheta)=1 has 0 (b) 2 (c) 4 (d) 2

The solution set of the inequality "cos"^(2) theta lt (1)/(2) , is

The number of solution the equation cos(theta).cos(pitheta)=1 has 0 (b) 2 (c) 4 (d) 2

Solution of the equation sin (sqrt(1+sin 2 theta))= sin theta + cos theta is (n in Z)

The solution set of sin 3theta + cos 2theta = 0 iss

Find the value of cos theta. cos 2theta. cos 2^(2)theta . cos 2^(3)theta"……." cos 2^(n-1) theta is

For all n in N, cos theta cos 2theta cos 4theta ....cos2^(n-1)theta equals to

The number of solution of the pair of equations 2sin^2theta-cos2theta=0a n d 2cos^2theta-3sintheta=0 in the interval [0,2pi] is 0 (b) 1 (c) 2 (d) 4

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. Statement - I : General solution of (tan4x-tan2x)/(1+tan4xtan2x)=1\...

    Text Solution

    |

  2. Evaluate the value of sin ((11π)/12).

    Text Solution

    |

  3. Let S1 be the set of all those solutions of the equation (1+a)costhe...

    Text Solution

    |

  4. If cotθ+cosecθ=5 , find cosθ.

    Text Solution

    |

  5. The number of solutions of the pair of equations 2sin^2theta−cos2th...

    Text Solution

    |

  6. Consider the system of equations sin x cos 2y=(a^(2)-1)^(2)+1, cos x...

    Text Solution

    |

  7. Consider the system of equations sinx.cos2y=(a^2−1)^2+1, cosx.sin2y=a ...

    Text Solution

    |

  8. The number of ordered triplets of positive integers which are solution...

    Text Solution

    |

  9. If sinA=sin B and cosA=cosB , then find the value of A in terms of Bdo...

    Text Solution

    |

  10. Solve the equation 1+ 2 "cosec" x =(-sec^(2)""(x)/(2))/(2)

    Text Solution

    |

  11. Solve the equation : cot x=2 , sin2x=1

    Text Solution

    |

  12. If alpha\ &\ beta satisfy the equation, a cos2theta+b sin2theta=c th...

    Text Solution

    |

  13. The number of solution of the equation sqrt(13-18tanx)=6 tan x-3, wher...

    Text Solution

    |

  14. Solve: cottheta +cos e ctheta=sqrt(3)

    Text Solution

    |

  15. Solve : sin5x=cos2x for all values of x between 0^0\ &\ 180^0

    Text Solution

    |

  16. Solve the equation : (1-t a ntheta)(1+sin2theta)=1+t a ntheta

    Text Solution

    |

  17. Solve sec4theta-sec2theta=2

    Text Solution

    |

  18. Solve the equation : cos3xdotcos^3x+s in3xdotsin^3x=0

    Text Solution

    |

  19. Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi...

    Text Solution

    |

  20. Solve the inequality : sin3x< sin x

    Text Solution

    |