y=-2cos(x/2+π/3),x∈[28π/5,a),若该函数是单调函数,求实数a的最大值.
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y=-2cos(x/2+π/3),x∈[28π/5,a),若该函数是单调函数,求实数a的最大值.
y=-2cos(x/2+π/3),x∈[28π/5,a),若该函数是单调函数,求实数a的最大值.
y=-2cos(x/2+π/3),x∈[28π/5,a),若该函数是单调函数,求实数a的最大值.
把28π/5代入得到角度为x/2+π/3=47π/15=3π+2π/15
由余弦函数图象知道在3π+2π/15到4π之间单调递增
所以x/2+π/3=4π x=22π/3
a=22π/3
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