Home
Class 12
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)/(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

  • EAMCET -2016 (AP)

    SIA PUBLICATION|Exercise PHYSICS|39 Videos
  • EAMCET -2016 (AP)

    SIA PUBLICATION|Exercise CHEMISTRY|3 Videos
  • EAMCET - 2018 (TS) SHIFT - 2

    SIA PUBLICATION|Exercise Chemistry|18 Videos
  • EAMCET -2016 (TS)

    SIA PUBLICATION|Exercise CHEMISTRY|36 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)=