Telefonledningernes Teori

100 4) cosh (a + b) = cosh a ■ cosh b + sinh a ■ sinh b; sinh (a + b) = sinh a ■ cosh b + cosh a ■ sinh b; tgh(a±b)= fa + tghb 1 + tgh a ■ tgh b cosh (a ~)rjb) = cosh a cos b -\-j sinh, a sin b = Vi(.coSh 2a + cos ■> sinh (a -p /b) = sinh a • cos b -\-j cosh a ■ sin b _________________________________________________. ,)i ct igb = K|(cos/z 2a — cos 2b) ■ e g‘gh a. tah (a 4- ib) = = sinh2a-\-jsin2b 1 ~F j tghatgb cosh 2a -f-cos 2b __ 1 / cosh 2a — cos 2b e' arc,g^åa 1 cosh 2a cos 2b £ , z , .,x 1 sinh 2a — isin 2b cotqh (a jb) — —, ,—;=-------------------------. tgh (a jb) cosh 2a — cos2b 5) | cosh (a -J- jb) | = Vcosh2a -j- cos2b = Ki (cosh 2a -p cos 2b) | sinh (a -j-jfc) | = Vcosh2a — cos2b = K%(cosh 2a — cos 2b) | cosh (a -p jb) + 1 | = cosh a + cos b. d cosha . , d -sinh a , d tqha 1 , = smha; , - = cosha; —------=---—• aa da da cosh" a 7) a2 a^ as COS/lfl=l+- + ---3;4+r2:/4-;^-|-.. sinh a = a q a ( a 12 3 : 1.2.34 0 a 2a tgh a = « - 3~ ITa1 315 7T“ - = 1 + —.«4-- «G + cosha 2 1 24 720 4 —---— = --1 J---Q2 -I---. . sinh a a\ 6 360 15120 1 V 1 1 4 ! 2 , i — 11 |- o a — ■ a -J- • a tgh a a\ 3 45 945 (a2 < n2).