Home
Class 11
MATHS
If m cos^(2) A + n sin^(2) A = p, then c...

If `m cos^(2) A + n sin^(2) A = p`, then `cot^(2) A`=

A

`(p+n)/(m+p)`

B

`(p-n)/(p-m)`

C

`(p-n)/(m-p)`

D

`(n+1)/(m+p)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-II(ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|5 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos
  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

Similar Questions

Explore conceptually related problems

sin^(2) A cos^(2)B + cos ^(2) A sin^(2) B + sin^(2) A sin^(2) B+ cos^(2) A cos^(2) B=

If cot^(2) A cot^(2) B = 3 , then the value of (2 - cos 2A) (2 - cos 2 B) is _________.

If sin A , cos A and tan A are in G.P. then cot^(6) A- cot^(2) A =

If sin^(2) x tan x + cos ^(2) x cot x - sin 2 x = 1 + tan x + cot x x in (0, pi) then x =

(cos h 2 + sin h 2)^(n) =

{:(" Column- I "," Column-II "),("A) If " ((sin theta)/(sin phi))^(2) = (tan theta)/(tan phi)=3 "then the value of " theta and phi " are ","(p) Infinite number of solutions "),("B) The number of solutions of " (sin ^(2) x + cos ^(4) x)/(cos^(2) x + sin^(4) x ) = 1 ,"q) " theta = n pi pm (pi)/(3)"," phi = n pi pm (pi)/(6) ),("(c) Solution of " cot 2 theta = cot ^(2) theta - tan ^(2) theta ,"r) " n pi pm (pi)/(4)):}

If in triangle ABC, a^2+2bc-(b^2+c^2)= ab sin (C/2) cos( C/2) , then cot (B+C) =

If x=a cos^(3) theta sin^(2) theta,y = a sin^(3) theta cos^(2) theta and ((x^(2)+y^(2))^(p))/((xy)^(q))(p,q in N) is independent of theta , the

If x=a cos^(3) theta sin^(2) theta, y= a sin^(3) theta cos^(2) theta and ((x^(2)+y^(2))^(p))/((xy)^(q))(p, q, in N) is independent of theta , then

If x = a cos^(3) theta sin^(2) theta,y = a sin^(3) theta cos^(2) thea and (x^(2)+y^(2))^(p)/((xy)^(q)),(p,q in N) is independent of theta then

AAKASH SERIES-TRIGONOMETRIC RATIOS-ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)
  1. If theta = (11pi)/(6). Then cos theta + sin theta =

    Text Solution

    |

  2. a = sec theta - tan theta and b=cosectheta+cottheta rArr a =

    Text Solution

    |

  3. If a sin^(3)x+b cos^(3)x= sin x cos x and a sin x= b cos x then a^(2)+...

    Text Solution

    |

  4. If m cos^(2) A + n sin^(2) A = p, then cot^(2) A=

    Text Solution

    |

  5. x = tan theta + cot theta, y = cos theta - sin theta rArr

    Text Solution

    |

  6. If (sintheta-costheta+1)/(sintheta+costheta-1)=(x)/(tantheta-sectheta+...

    Text Solution

    |

  7. sin x + sin^(2) x + sin^(3) x = 1 rArr cos^(6) x - 4cos^(4) x + cos^(2...

    Text Solution

    |

  8. cos theta + cos^(2) theta = 1, cos theta + cos^(2) theta = 1 + d sin^(...

    Text Solution

    |

  9. cosA, sinA, cotA are in GP then tan^(6) A - tan^(2) A =

    Text Solution

    |

  10. If e^((1+sin^(2)x+sin^(4)x+...oo)log2)=16, then tan^(2)x =

    Text Solution

    |

  11. If 0 le x le pi, 4^(sin^(2)) + 4 ^(cos^(2)x) = 5, then x =

    Text Solution

    |

  12. If sin beta is the G.M between sin alpha and cos alpha then (cos alpha...

    Text Solution

    |

  13. If x = a cos^(3) theta sin^(2) theta,y = a sin^(3) theta cos^(2) thea ...

    Text Solution

    |

  14. If sin theta and theta are the roots of px^(2) + qx + r = 0 then q^(2)...

    Text Solution

    |

  15. If cos x = tan y, cot y = tan z and cot z = tan x, then sin x =

    Text Solution

    |

  16. If sin theta + cos thea = m and sec theta+ cosec theta = n, then n (m...

    Text Solution

    |

  17. If m= a Cos^(3) theta + 3a Cos theta Sin^(2) theta and n=a Sin^(3) the...

    Text Solution

    |

  18. If sin theta + cos theta = and sin^(3) theta + cos^(3)theta = q, then...

    Text Solution

    |

  19. If (cos^(2)theta)/(a)=(sin^(2)theta)/(b) then (cos^(4)theta)/(a)+(sin^...

    Text Solution

    |

  20. a sec theta + b tan theta = 1, sec theta - b tan theta = 5 rArr a^(2)(...

    Text Solution

    |