若
f(x)=asin(x+)+3sin(x−)是偶函数,则a=______.
人气:464 ℃ 时间:2019-08-18 05:20:44
解答
f(x)=asin(x+)+3sin(x−)=a(sinx+cosx)+3(sinx−cosx)是偶函数,
取a=-3,可得
f(x)=−3cosx为偶函数.
故答案为:-3.
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