sinx/cosx+cosx/sinx=4 怎么算啊

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sinx/cosx+cosx/sinx=4怎么算啊sinx/cosx+cosx/sinx=4怎么算啊sinx/cosx+cosx/sinx=4怎么算啊sinx/cosx+cosx/sinx=4sin&

sinx/cosx+cosx/sinx=4 怎么算啊
sinx/cosx+cosx/sinx=4 怎么算啊

sinx/cosx+cosx/sinx=4 怎么算啊
sinx/cosx + cosx/sinx = 4
sin²x/(sinxcosx) + cos²x/(sinxcosx) = 4
(sin²x + cos²x)/(sinxcosx) = 4
1/(sinxcosx) = 4
sinxcosx = 1/4
sin2x = 1/2
2x = 2kπ + π/6 或2kπ + 5π/6
x = kπ + π/12 或 kπ + 5π/12 ,k ∈Z