Помогите, безотлагательно!!!!

[ log,(x+1)/(log,100-log,9) ] lt;1
[ log,(x+1)/(log,100-log,9) -1]lt;0

[ log,(x+1)-log,100+log,9] /(log,100-log,9)lt;0
[ log,(x+1)+log,0,09 ] / [-log,0,09]lt;0 *(-1)
[ log,(x+1)+log,0,09 ] / 2gt;0

log,(x+1)+log,0,09gt;0
 2gt;0

log,(x+1)+log,0,09gt;0
log,(x+1)gt;-log,0,09
log,(x+1)gt;log,0,09       0,09=(9/100)=100/9
0lt;0,3lt;1 знак неравенства меняем

x+1lt;(100/9)        xlt;(91/9)
x+1gt;0                    xgt;-1
x(-1;91/9)
наибольшее целое решение х=10

cos=-(1/3), sin=?
sin+cos=1
sin+(-1/3)=1, sin=8/9
sin=+-(8/9),  lt;lt;3/2. 
sin=-(8/9)
sin=-22/3

sin135+cos210-sin(-150)+cos225=sin(90+45)+cos(180-30)+sin(180-30)+cos(180+45)=cos45-cos30+sin30-cos45=sin30-cos30=1/2-3/2=(1-3)/2