MATH 31B Lecture Notes - Lecture 11: Coset
Document Summary
Last time: me; :p t. iiitshit. pl?eiirarevieooh, hyperbolic trig ferret . partial fractions, sample exam -style. Today 5:30 - 6:30pm problems on grades cope. Sod : last time - two applications of ibp gave fsincxedx = sincxe fsincxexdx add. Fsincxexdx to both sides ! (cid:15482) 2 fsincxexdx = sinhaex- cos case (cid:15482) fsincxsexdx = i [sin ex- cos ex] Defy the hyperbolic cosine: the hyperbolic is is coshe> = eet a sinhct) = e t. 2 (rmd : later ( in the course) gina, = we will see that coset) = eitte - it where 5=-1) Note : cosh it) = sin htt) & # sinha) = cos htt) Note : cosh ht sinha) = ettae etzet = let = et. A- = 2 = e cosh ct) - sin htt) = et + e a- T (cid:15482) kosh ct) + sinha)) (cosh cts- sinha) = et. e-t (cid:15482) cosh7t)-sinh4tt. = et - ett =/ sin hits so if yx. is?nsnyi3thenxey. =i.
