Home
Class 14
MATHS
If cot theta+costheta=m and cot theta-co...

If `cot theta+costheta=m and cot theta-costheta=n`, then find the value of `m^(2)-n^(2)`.

A

a) `sqrt(mn)`

B

b) `2sqrt(mn)`

C

c) `3sqrt(mn)`

D

d) `4sqrt(mn)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise EXERCISES (Multiple Choice Questions)|350 Videos
  • TIME, SPEED & DISTNACE

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS|108 Videos

Similar Questions

Explore conceptually related problems

If tantheta+sintheta=m and tan theta-sin theta=n , then find the value of m^(2)-n^(2) .

If cot theta + cos theta = m and cot theta - cos theta = n then prove that: m^(2) - n^(2) = 4sqrt(mn)

If sin theta + costheta = m and sin theta - cos theta = n , then

If Sintheta=costheta , find the value of theta

If costheta+sintheta=mandsectheta+"cosec"theta=n then the value of n (m^(2)-1) is equal to :

If cosectheta-sintheta=m" and " sectheta-costheta=n , elimnate theta .

If cos ec theta+cot theta=m and cos ec theta-cot theta=n, prove that mn=1

If costheta+cos^(2)theta=1 , then find the value of sin^(4)theta+sin^(2)theta .

If theta is an acute angle and sintheta=costheta , then find the value of 2tan^(2)theta+sin^(2)theta-1 .

If cot theta+tan theta=m and sec theta-cos theta=n then (m^(2))^((2)/(3))-(mn^(2))^((2)/(3))=

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If "cosec"theta=x+(1)/(4x), then find the value of "cosec"theta+cot t...

    Text Solution

    |

  2. If tantheta+sintheta=m and tan theta-sin theta=n, then find the value ...

    Text Solution

    |

  3. If cot theta+costheta=m and cot theta-costheta=n, then find the value ...

    Text Solution

    |

  4. If tantheta+sintheta=mandtantheta-sintheta=n, then find the value of s...

    Text Solution

    |

  5. If cosectheta-sintheta=landsectheta-costheta=m, then l^(2)m^(2)(l^(2)+...

    Text Solution

    |

  6. If cosectheta-sintheta=mandsectheta-costheta=n, then (m^(2)n)^((2)/(3)...

    Text Solution

    |

  7. If cottheta+tantheta=xand sectheta-costheta=y, then

    Text Solution

    |

  8. If sintheta+sin^(2)theta+sin^(3)theta=1, then find the value of cos^(6...

    Text Solution

    |

  9. (sin^(8)theta-cos^(8)theta)/(cos2theta(1+cos^(2)2theta))=?

    Text Solution

    |

  10. If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=(secalpha-t...

    Text Solution

    |

  11. If asectheta+btantheta+c=0andpsectheta+qtantheta+r=0, then (br-qc)^(2)...

    Text Solution

    |

  12. If P=acos^(3)x+3acosx.sin^(2)xandQ=asin^(3)x+3acos^(2)x.sinx, then (P+...

    Text Solution

    |

  13. Let alpha, beta be such that pi lt alpha -beta lt 3 pi. If sin alpha...

    Text Solution

    |

  14. If 8cos2theta+8sec2theta=65and0^(@)ltthetalt(pi)/(2), then 4cos4theta ...

    Text Solution

    |

  15. Prove that cos^(4)pi/8+cos^(4)(3pi)/(8)+cos^(4)(5pi)/8+cos^(4)(7pi)/...

    Text Solution

    |

  16. cos""(pi)/(15).cos""(2pi)/(15).cos""(4pi)/(15).cos""(8pi)/(15) is equa...

    Text Solution

    |

  17. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

    Text Solution

    |

  18. If x=ycos""(2pi)/(3)=zcos""(4pi)/(3), then xy+yz+zx is equal to

    Text Solution

    |

  19. If A,Bin(0,pi//2),sinA=(4)/(5)andcos(A+B)=-(12)/(13), then sinB=?

    Text Solution

    |

  20. If a sectheta+b tantheta=1anda^(2)sec^(2)theta-b^(2)tan^(2)theta=5, th...

    Text Solution

    |