Home
Class 12
MATHS
If (1+tanalpha)(1+tan4alpha)=2,alpha in ...

If `(1+tanalpha)(1+tan4alpha)=2,alpha in (0,pi/(16)),` then `alpha` is equal to

A

`(pi)/(20)`

B

`(pi)/(30)`

C

`(pi)/(40)`

D

`(pi)/(60)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 alpha)(1+tan4 alpha)=2,alpha in(0,(pi)/(16)) then alpha is equal to (a) (pi)/(20) (b) (pi)/(30) (c) (pi)/(40) (d) (pi)/(60)

if (1+tan alpha)(1+tan4 alpha)=2 where alpha in(0,(pi)/(16)) then alpha equal to

If 0 lt alpha lt (pi)/(16) and (1+tan alpha)(1+tan4alpha)=2 , then the value of alpha is equal to

If tan alpha=(x)/(x+1) andtan beta=(1)/(2x+1), then alpha+beta is equal to (pi)/(2) b.(pi)/(3) c.(pi)/(6) d.(pi)/(4), then alpha+beta

" If cos(alpha+beta)=(3)/(5) sin(alpha-beta)=(5)/(13) and 0< alpha, beta < (pi)/(4) then tan(2 alpha) is equal to

If tan alpha=(x)/(x+1) and tan beta=(1)/(2x+1), then alpha+beta is equal to pi/2(b)pi/3(c)pi/6(d)pi/4

tan alpha+2tan2 alpha+4tan4 alpha+8cot8 alpha is equal to :

If tanalpha =(1)/(7) and tanbeta =(1)/(3) , then, cos2alpha is equal to

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. The number of integral values of a for which the equation cos2x+asinx=...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. General solution of tantheta=cot2theta is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If cosptheta=cosqtheta, pneq, then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. sinx+sin3x+sin5x=0

    Text Solution

    |

  20. The number of solutions of the equation sinx-sin2x+sin3x=2cos^(2)x-cos...

    Text Solution

    |