Home
Class 11
MATHS
If (1+tan alpha)(1+tan 4alpha)=2, alpha ...

If `(1+tan alpha)(1+tan 4alpha)=2, alpha epsilon(0,(pi)/(6))`, then `alpha=`.

A

`(pi)/(10)`

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

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|46 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)|43 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise EXERCISE - I|28 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

If (1 + tan alpha) (1 + tan 4 alpha) = 2, alpha in (0, (pi)/(16)) , then alpha =

If (1+ tan alpha)(1+ tan 4alpha)=2, alpha in (0, pi//16) , then alpha is equal to:

tan2alpha-tanalpha(1+sec2alpha)=

If 0 lt alpha lt (pi)/(6) then alpha(cosec alpha) is

If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ) , then tan(alpha-beta)=

sin 2 alpha - cos 2 alpha tan alpha =

Statement-I : If f(theta)=(cot theta)/(1+cot theta) and alpha+ beta=(5pi)/(4) then f(alpha) f(beta)=(1)/(2) Statement-II : If alpha+ beta=(pi)/(2) and beta+ gamma= alpha then tan alpha= tan beta+ 2tan gamm Statement-III sin^(2) alpha+ cos^(2) (alpha+ beta)+2 sin alpha beta cos (alpha+beta) is independent of alpha only

If alpha = (2pi )/(7) , then tan alpha tan 2 alpha + tan 2 alpha tan 4 alpha + tan 4 alpha tan alpha =

If (sin (theta+ alpha))/(cos (theta- alpha))=(1-M)/(1+M) then Tan ((pi)/(4)- theta). Tan ((pi)/(4)- alpha)=

AAKASH SERIES-COMPOUND ANGLES-EXERCISE - II
  1. If tan A=(x sin B)/(1- x cos B) and tan B=(y sin A)/(1-y cos A) then ...

    Text Solution

    |

  2. If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ), then tan(alpha-...

    Text Solution

    |

  3. If sin (120^(@) - alpha) = sin (120^(@) - beta) and 0 lt alpha,beta lt...

    Text Solution

    |

  4. If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

    Text Solution

    |

  5. In a Delta ABC , if the angle C is obtuse, then tan A ta B =

    Text Solution

    |

  6. In a triangle ABC, fi Tan A + Tan B + Tan C = 6 and Tan A Tan B = 2 th...

    Text Solution

    |

  7. In Dleta ABC if Tan B = (2Sin ASinC)/(Sin(A+C)) then TanA, TanB, TanC ...

    Text Solution

    |

  8. In a triangle ABC, If cot A+ cotB +cot C=sqrt3, then show that the tri...

    Text Solution

    |

  9. Tan A + Tan B + Tan C - (sin(A+B+C))/(cosAcosBcosC)=

    Text Solution

    |

  10. Statement-I : If 0 lt alpha, beta lt pi/4, sin alpha =a/sqrt(1+a^(2)),...

    Text Solution

    |

  11. I : If x cos theta = y cos (120^@ + theta ) = z cos ( theta + 240^(@)...

    Text Solution

    |

  12. A =(cos 9^(@) - sin 9^(@))/(cos 9^(@) + sin 9^(@)) , B = (cos 21^(@) +...

    Text Solution

    |

  13. Assertion (A) : If cos(x-y) = 3 cos (x + y) then cotx cotx = 2 Reaso...

    Text Solution

    |

  14. Assertion (A) : tan (alpha - beta) + tan (beta - lambda) + tan (lambda...

    Text Solution

    |

  15. Assertion (A) : tan 70^(@) - tan 20^(@) = 2 cot 40^(@) Reason (R ) : I...

    Text Solution

    |

  16. cos alpha * sin (beta - gamma ) + cos beta * sin ( gamma - alpha ) + c...

    Text Solution

    |

  17. If A = 35^(@), B = 15^(@), C = 40^(@), then tan A tan B +tan B tan C +...

    Text Solution

    |

  18. In an acute angled triangle ABC, cot A cot B + cot C + cot c Cot A = …...

    Text Solution

    |

  19. (Cos13-Sin13)/(Cos13+Sin13)+(1)/(Cot148^@)=

    Text Solution

    |

  20. If (1+tan alpha)(1+tan 4alpha)=2, alpha epsilon(0,(pi)/(6)), then alph...

    Text Solution

    |