Home
Class 12
MATHS
If cos(theta+phi)= mcos(theta-phi), then...

If `cos(theta+phi)= mcos(theta-phi)`, then prove that `tan theta=(1-m)/(1+m)cotphi`.

A

`(1+m)/(1-m)tan phi`

B

`(1-m)/(1+m)tanphi`

C

`(1-m)/(1+m)cotphi`

D

`(1+m)/(1-m)secphi`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Exercise|190 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If cos(theta+phi)=m cos(theta-phi) then tan theta is equal to

If theta+phi=45^(@) ,prove that (cot theta-1)(cotphi-1)=2

If sin(theta+phi)=n sin(theta-phi), then the value of (tan theta)/(tan phi) is equal to

sin(theta+phi)/cos(theta-phi)=(1-x)/(1+x) then prove that tan(pi/4-theta)tan(pi/4+phi)=x

If 0

If sin theta=k sin(theta+phi), show that tan(theta+phi)=(sin phi)/(cos phi-k)

If sin theta is G.M.of sin phi and cos phi, then prove that cos2 theta=2cos^(2)((pi)/(4)+phi)

If cos theta=(2cos phi-1)/(2-cos phi), then find the value of tan((theta)/(2))

If sin theta - sin phi = a and cos theta + cos phi = b then prove that cos(theta + phi) = (a^(2)+b^(2) -2)/2

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. If tan((alphapi)/(4))=cot((betapi)/(4)), then

    Text Solution

    |

  2. The roots of the equation 4x^2-2sqrt5 x +1=0 are .

    Text Solution

    |

  3. The radius of the circle whose are of length 15\ pi cm makes an angle ...

    Text Solution

    |

  4. If (cosA)/(cosB)=n and (sinA)/(sinB)=m,then (m^(2)-n^(2))sin^(2)B=

    Text Solution

    |

  5. If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal...

    Text Solution

    |

  6. If cos(theta+phi)= mcos(theta-phi), then prove that tan theta=(1-m)/(1...

    Text Solution

    |

  7. alpha & beta are solutions of a cos theta+b sin theta=c(cosalpha != ...

    Text Solution

    |

  8. Let n be a positive integer such that sin(pi/2n) + cos(pi/2n) = sqrt(n...

    Text Solution

    |

  9. cos^(4)theta-sin^(4)theta is equal to

    Text Solution

    |

  10. If tan alpha =m/(m+1) and tan beta =1/(2m+1) , then alpha+beta is equa...

    Text Solution

    |

  11. tan alpha+2tan2alpha+4tan4alpha+8cot8alpha is equal to

    Text Solution

    |

  12. If cos theta-4sintheta=1, the sintheta+4costheta=

    Text Solution

    |

  13. If A+C=2B, then (cosC-cosA)/(sinA-sinC)=

    Text Solution

    |

  14. If A+B=C, then cos^(2)A+cos^(2)B+cos^(2)C-2cosAcosBcosC=

    Text Solution

    |

  15. If 5cosx+12cosy=13, then the maximum value of 5sinx+12siny is (...

    Text Solution

    |

  16. If x=tan15^(@),y=cosec75^(@),z=4sin18^(@)

    Text Solution

    |

  17. For all values of theta,3-costheta+cos(theta+(pi)/(3)) lie in the inte...

    Text Solution

    |

  18. (tan8 0^(@)-tan1 0^(@))/tan70^(@)

    Text Solution

    |

  19. If sinA+sinB=sqrt3(cosB-cosA),then sin3A+sin3B=

    Text Solution

    |

  20. If alpha+beta+gamma=2 theta,then cos theta + cos(theta - alpha) + cos(...

    Text Solution

    |