auto ad

Tuesday, October 13, 2009

if (A-B) = pi/4 show that (1+tanA)(1+tanB) = 2tanA

if (A-B) = pi/4 show that (1+tanA)(1+tanB) = 2tanA

make it into A = B + (pi/4)
take tan on both sides, apply tan(A+B) identity
simplify and extract tanA
add tanA to both sides and then factorise
trigonometry identities

-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





2 comments:

  1. Can you give answer of this question please.
    if A-B=45
    (1+tanA)(1+tanB)=2tanA

    ReplyDelete
    Replies
    1. note that 45 degrees is the same as (pi/4) in radian measure
      So this is the same as the above question just change (pi/4) to 45 degrees and use tan(45 degrees) =1

      Delete

please leave your comments