BOUND ANGLE AND ITS MATHMATICS

if dy/dx has given means tan theta it means heres that if line or fucnton have bound betwene x and y then it also have bound angle that chnage with the slope will change dy/dx=m or not change remaisn cosnstnt it depend on their constant and non consnata bodning so means teher will be dy/dx and by/bx so hw by/bx is calculate it calculate by next contnosur angle that we calculte iff by/bx is gratter then dy/dx then x and y moe boundation and when dx/dy then x and y less boundations then slope of x and y menas dx and dy but how by/bx been calculate by next it called slope with binded angle but wht if teher will be no slope and we have to calculate by/bx then it calaculte by differently so kif there is slope betwenen y and x then there will be bonding betwene x and y it depend on bodning how mcuh strong left to rihgt and right to left how bonding is strongs , more string less if boding is strng then slope will be strong if boding isweak then slope will be weak so by/bx means it coudl be any sine or cosine so in it m=dy/dx then solve the bent we by/bx we because if the bodning then the slope then b(dy/dx)/by and by/b(dy/dx) by that e foudn the over the slope teh benting now discaiaon is finised now evolved mathamctis from it linear algebra or algebra:-->a bound with b b bound with c then it must taht c bound with b and b boiudn with a to revesre and inverse process to run a.(b.c)=c.(b.a) numebr theory :--bonded numebr where 4 make bond with 5 of 3 and 5 make bond with 2 then 4(3)--5(2) so 3 part goes in bonding ad 2 is goes in bonding real analysis:-->lower bounded menas if lower bound with boding with if like upper bond with right left bodnding means if upper bound is left bond lower bound is right bond calcuals :-->above dicussed vetor calclas:-->high bond with tail and low bond with head complex analysis:-->x+iy low bond perido with x1+iy1 and x1 and y1 wherer they have bonded complex enetity in shape of cos tehta+i sin thets cos theta+ i sin theta=means equal to cos 30+i sin 45 lower bond and upper bond cos 15 degrre+ i sin 35 degree