✔ 最佳答案
cosec^2 x = 4 cot x -3
cosec^2 x * sin^2 x = 4 cot x * sin^2 x - 3 * sin^2 x
1 = 4 cosx sinx - 3sin^2 x
3sin^2 x - 4cosxsinx + sin^2 x + cos^2 x = 0
4sin^2 x - 4cosxsinx + cos^2 x = 0
(2sinx - cosx)^2 = 0
2sinx = cosx
tan x = 0.5
x = 26.6 deg. ( corr to 3 sig. fig. )
2010-09-08 22:30:29 補充:
since 0<=x<=360
x should be 26.6 deg. or 206.6 deg.