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函数y=3sin(x+20°)+5cos(x-10°)的最大值是______.
人气:285 ℃ 时间:2019-09-23 14:56:31
解答
y=3sin(x+20°)+5cos(x-10°)=3sin[(x-10°)+30°]+5cos(x-10°)=3sin(x-10°)cos30°+3sin30°cos(x-10°)+5cos(x-10°)=332sin(x−10°)+132cos(x−10°)=7sin(x-10°+θ)(θ为辅助角)根据三角...
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