求$sinx(sqrt{cos^2x+24}-cosx)$的范围.
解答:[-5,5]
$$ecause (sinx sqrt{cos^2x+24}-cosxsinx)^2$$
$$le (sin^2x+cos^2x)(cos^2x+24+sin^2x)=25$$
求$sinx(sqrt{cos^2x+24}-cosx)$的范围.
解答:[-5,5]
$$ecause (sinx sqrt{cos^2x+24}-cosxsinx)^2$$
$$le (sin^2x+cos^2x)(cos^2x+24+sin^2x)=25$$