化簡{√[tanα+(cotα)^2]}+∣tanβ-cotβ∣0<α<45<β<90
熱心網(wǎng)友
∵0<α<45<β<90，tgA在(0,90度)為增函數(shù)∴0 {√[tanα+(cotα)^2]}+∣tanβ-cotβ∣∵00,tanβ1,∴cotβcotβ∴原式=[√（tanα^3+1)]/tanα+tanβ-cotβ熱心網(wǎng)友
化簡{√[tanα+(cotα)^2]}+∣tanβ-cotβ∣0<α<45<β<90
∵0<α<45<β<90，tgA在(0,90度)為增函數(shù)∴0 {√[tanα+(cotα)^2]}+∣tanβ-cotβ∣∵00,tanβ1,∴cotβcotβ∴原式=[√（tanα^3+1)]/tanα+tanβ-cotβ熱心網(wǎng)友