1)求證cotαcosα/cotα-cosα=tan(α/2+π/4)
1)求證cotαcosα/cotα-cosα=tan(α/2+π/4)
2)已知2+根號(hào)3是關(guān)于x的方程x^2-(tanα+cotα)x+1=0的一個(gè)根 求sin2α的值
2)已知2+根號(hào)3是關(guān)于x的方程x^2-(tanα+cotα)x+1=0的一個(gè)根 求sin2α的值
數(shù)學(xué)人氣：833 ℃時(shí)間：2020-06-13 13:02:19
優(yōu)質(zhì)解答
cotxcosx/(cotx-cosx)=cosx/(1-sinx)=(cos^2x/2-sin^2x/2)/(sin^2x/2+cos^2x/2+2sinx/2cosx/2)=(cos^2x/2+sin^2x/2)(cos^2x/2-sin^2x/2)/(sin^2x/2-cos^2x/2)^2=(cosx/2+sinx/2)/(cosx/2-sinx/2)=(tanx/2+1)/(1-tanx...
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