f(x)+f(-x)
=lg[sinx+√(1+sin^2x)]+lg[-sinx+√(1+sin^2x)]
=lg{[sinx+√(1+sin^2x)][sinx+√(1+sin^2x)]}
=lg[(1+sin^2x)-sin^2x\
=lg1
=0
f(-x)=-f(x)
且定义域是R,关于原点对称
所以是奇函数
谁能告诉我正弦函数lg(sinx+√(1+sin^2x))是奇函数还是偶函数,
谁能告诉我正弦函数lg(sinx+√(1+sin^2x))是奇函数还是偶函数,
数学人气:494 ℃时间:2020-02-04 05:22:48
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