hi yaz angel!!

what does "<3" in your signature mean???  i see that expression being used a lot lately.

(1+sinθ)^(1/2)      (1+sinθ)
------------------ =  -----------          the left side is easier to work with
(1-sinθ)^(1/2)         |cosθ|

(1+sinθ)^(1/2)
------------------       multiply everything by the "conjugate" of the denominator
(1-sinθ)^(1/2)

(1+sinθ)^(1/2)*(1+sinθ)^(1/2)            (1+sinθ)^(2/2)                 1+sinθ
------------------------------------ = ------------------------------ = ------------------
(1-sinθ)^(1/2)*(1+sinθ)^(1/2)       [(1-sinθ)(1+sinθ)]^(1/2)     (1-sin²θ)^(1/2)

    1+sinθ
------------------     remember the identity   cos²θ = 1-sin²θ
(1-sin²θ)^(1/2)

    1+sinθ                 1+sinθ
------------------ = ----------------   since √a ≥ 0, then √cos²θ > 0 ⇒ |cosθ|
  (cos²θ)^(1/2)      (cosθ)^(2/2)

1+sinθ      1+sinθ   
--------- = ---------
√cos²θ      |cosθ|

Last edited by Flowers4Carlos (2005-11-15 15:18:57)

ahhh... a heart!  yes i recognize those!!  they are the ones that are always fluttering about chris evans.