Home
Class 12
MATHS
If (1+tantheta)(1+tanphi)=2 then theta+p...

If `(1+tantheta)(1+tanphi)=2` then `theta+phi=`

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

`75^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

If (1+tan theta)(1+tan phi)=2 then theta+phi=

If (1+tan theta)(1+tan phi)=2then(theta+phi) is

If (1+tantheta)(1+tanphi)=2 , then what is (theta+phi) equal to ?

If 3 tan theta tan phi=1, then (cos (theta-phi))/(cos (theta+phi)) is

If 3tan theta tan phi=1 then (cos(theta-phi))/(cos(theta+phi)) is

If tantheta+(1)/(tantheta)=2 then the value of tan^(2)theta+(1)/(tan^(2)theta) is equal to :

If 3tantheta.tanphi=1 . evalute: (cos(theta-phi))/(cos(theta+phi)).

If tan theta=1/2 and tan phi=1/3, then tan(2 theta+phi)

if tan theta+tan phi=x and cot theta+cot phi=y prove that cot(theta+phi)=(1)/(x)-(1)/(y)

if (1+tantheta)(1+tantheta)=2 , find the general value of (theta+phi)

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. The number of values of theta in [ 0, 2pi] satisfying the equation 2si...

    Text Solution

    |

  2. The number of integral values of a for which the equation cos2x+asinx=...

    Text Solution

    |

  3. If (1+tantheta)(1+tanphi)=2 then theta+phi=

    Text Solution

    |

  4. If (1+tanalpha)(1+tan4alpha)=2,alpha in (0,pi/(16)), then alpha is equ...

    Text Solution

    |

  5. The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2,...

    Text Solution

    |

  6. if 0<=x<=pi and 81^(sin^2x)+81^(cos^2x)=30 then x=

    Text Solution

    |

  7. If 4sin^4x+cos^4x=1,t h e nxi se q u a lto(n in Z) npi (b) npi+-sin...

    Text Solution

    |

  8. The root of the equation 1-costheta=sintheta*"sin"(theta)/(2) is

    Text Solution

    |

  9. If the general solution of sin5x=cos2x is of the form an.pi/2 for n=0,...

    Text Solution

    |

  10. General solution of tantheta=cot2theta is

    Text Solution

    |

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

    Text Solution

    |

  12. If tantheta=-(1)/(sqrt(3)),sintheta=(1)/(2)andcostheta=-(sqrt(3))/(2),...

    Text Solution

    |

  13. If cosptheta=cosqtheta, pneq, then

    Text Solution

    |

  14. If (2cosx-1)(3+2cosx)=0, 0lexle2pi, then x=

    Text Solution

    |

  15. If sin((pi)/(4)costheta)=cos((pi)/(4)tantheta), then theta is equal to

    Text Solution

    |

  16. If tan2thetatantheta=1, then the general value of theta is

    Text Solution

    |

  17. The general value theta obtained from the equation cos3theta=sinalpha ...

    Text Solution

    |

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

    Text Solution

    |

  19. If sin5x+sin3x+sinx=0 ,then the value of x other than 0 lying between ...

    Text Solution

    |

  20. sinx+sin3x+sin5x=0

    Text Solution

    |