作业帮2sin^2x - 5sin x cos x=3 cos^2x,求X,
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2sin^2x - 5sin x cos x=3 cos^2x,求X,
2sin^2x - 5sin x cos x=3 cos^2x,求X,
2sin^2x - 5sin x cos x=3 cos^2x,求X,
因式分解一下 得到（sinx-3cosx)(2sinx+cosx)=0
所以得到sinx-3cosx =0 或 2sinx+cosx =0
所以tanx = 3 或 -1/2
所以x = actan3 或 actan(-1/2)
2(sinx)^2 - 5*sinx*cosx - 3(cosx)^2 = 0
(2sinx + cosx)(sinx - 3cosx) = 0
(2tanx + 1) (tanx - 3) = 0
所以有：tanx = -1/2，或 tanx = 3
那么有：x = kπ + arctan(-1/2) 或 x = kπ + arctan3
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