Home
Class 12
MATHS
Let P= {theta : sin theta - cos theta = ...

Let P= `{theta : sin theta - cos theta = sqrt2 cos theta}` and Q =`{theta : sin theta + cos theta = sqrt2 sin theta}` be two sets. Then

A

`P sub Q and Q - P ne phi`

B

`Q sub P`

C

`P cencel sub Q`

D

`P = Q`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES)|2 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos

Similar Questions

Explore conceptually related problems

Q.Let P={theta:sin theta-cos theta=sqrt(2)cos theta} and Q={theta:sin theta+cos theta=sqrt(2)sin theta} be two sets.then

Let P={theta:sin theta-cos theta=sqrt(2)cos theta}and Q={theta:sin theta+cos theta=sqrt(2)sin theta} be two sets.then

Let P=[theta:sin theta cos theta=sqrt(2)cos theta) and Q={theta:sin theta+cos theta=12sin theta} be two sets.Then:

If sin theta + cos theta = sqrt2 , then find the value of theta .

If cos theta + sin theta = sqrt2 cos theta " then" cos theta - sin theta is equal to

If cos theta + sin theta = sqrt2cos theta," then " cos theta -sin theta is

Period of sin theta - sqrt2 cos theta is

ML KHANNA-TRIGONOMETRICAL EQUATIONS -SELF ASSESSMENT TEST
  1. The maximum value of sin (x + x/6) + cos (x + pi/6) int eh interval (0...

    Text Solution

    |

  2. If x = X "cos" theta-Y "sin" theta, y = X "sin" theta + Y "cos" theta ...

    Text Solution

    |

  3. The general solution of the equation tan^2 x + 2 sqrt3 tan x = 1is giv...

    Text Solution

    |

  4. Let P= {theta : sin theta - cos theta = sqrt2 cos theta} and Q =...

    Text Solution

    |

  5. For 0 lt theta lt pi/2, the solutions of sigma(m-1)^(6)"cosec"(theta+(...

    Text Solution

    |

  6. The positive integer value of n gt 3 satisfying the equation (1)/(sin(...

    Text Solution

    |

  7. The number of all possible values of theta,where 0 lt thetalt pi for w...

    Text Solution

    |

  8. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

    Text Solution

    |

  9. If sqrt3cos theta + sin theta = sqrt2 then general value of theta is

    Text Solution

    |

  10. The general solution of sinx-cosx=sqrt(2), for any integer n is

    Text Solution

    |

  11. If tan2theta =1, then the general value of theta is

    Text Solution

    |

  12. The equation a "cos" x - "cos" 2x = 2a-7 passesses a solution if

    Text Solution

    |

  13. General value of theta obtained from the equation cos 2 theta = sin al...

    Text Solution

    |

  14. If sin 6 theta + sin 4 theta + sin 2 theta = 0 Then the general valu...

    Text Solution

    |

  15. General solution of tan 5 theta =

    Text Solution

    |

  16. The equation sinx cosx=2 has:

    Text Solution

    |

  17. The value of theta lying between 0 and pi/2 and satisfying the equati...

    Text Solution

    |

  18. The number of values of x in the interval [0, 5pi] satisfying the equa...

    Text Solution

    |

  19. Find the most general value of theta satisfyingn the equation tanthet...

    Text Solution

    |

  20. The smallest positive angle which satisfies the equation 2sin^2theta+s...

    Text Solution

    |