1) 5sin²x-14sinxcosx-3cos²x - 2cos^2x - 2sin^2x = 0
3sin^2x - 5cos^2x-14sinx*cosx = 0 / cos^2x не равн. 0
3tg^2x - 14tgx - 5 = 0
путь tgx = a , тогда
3a^2 -14a -5 = 0
Д = 196 + 60 = 256
х1 = (14+16) \ 6 = 5
х2= (14-16) \ 6 = -1\3
tgx = 5 tgx = -1/3
x=arctg5 + Пn x= -arctg 1/3 +Пn
1) 5sin²x-14sinxcosx-3cos²x - 2cos^2x - 2sin^2x = 0
3sin^2x - 5cos^2x-14sinx*cosx = 0 / cos^2x не равн. 0
3tg^2x - 14tgx - 5 = 0
путь tgx = a , тогда
3a^2 -14a -5 = 0
Д = 196 + 60 = 256
х1 = (14+16) \ 6 = 5
х2= (14-16) \ 6 = -1\3
tgx = 5 tgx = -1/3
x=arctg5 + Пn x= -arctg 1/3 +Пn