close

標題:

math question 23

發問:

find all real number in the interval (0,360)that satisfy the equation. use degree measure 2sec^2xtanx=4tanx the solution set is ? round to the nearest tenth as needed. do not include the degree symbol in your answer. use a comma to separate answers as needed.

最佳解答:

find all real number in the interval (0,360)that satisfy the equation. use degree measure 2sec^2xtanx=4tanx 2(tan^2x+1)tanx=4tanx 2tan^3x+2tanx-4tanx=0 2(tan^2x-1)tanx=0 (tan^2x-1)=0 or tanx=0 tan^2x=1 or tanx=0 tanx=1 or tanx=-1 or tanx=0 (x=45 or 225) or (x=135or 315) or (x=0 or 360) so, x={0,45,135,225,315,360}

其他解答:

2sec^2x tanx = 4tanx => 2sec^2x tanx - 4tanx = 0 => tanx(sec^2x - 2) = 0 => tanx (sec x - sqrt(2)) (sec x + sqrt(2)) = 0 where sqrt(2) means square root 2 => tan x = 0 or sec x - sqrt 2 = 0 or sec x + sqrt 2 = 0 With 0

此文章來自奇摩知識+如有不便請留言告知

FAD2A23AB937987B

arrow
arrow
    文章標籤
    火影忍者 英文名 迪士尼 卡通 字典
    全站熱搜
    創作者介紹
    創作者 omckyyo 的頭像
    omckyyo

    omckyyo的部落格

    omckyyo 發表在 痞客邦 留言(0) 人氣()

    E-mail轉寄