Toán Lớp 11: Xét tính chẵn lẻ: y=x^3-sinx/cos2x. Và. y=x/sinx+tanx
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Toán Lớp 11: Xét tính chẵn lẻ: y=x^3-sinx/cos2x. Và. y=x/sinx+tanx
Comments ( 1 )
a)y\left( { – x} \right) = \dfrac{{{{\left( { – x} \right)}^3} – \sin \left( { – x} \right)}}{{\cos \left( { – 2x} \right)}} = \dfrac{{ – {x^3} + \sin x}}{{\cos 2x}}\\
= – \dfrac{{{x^3} – \sin x}}{{\cos 2x}} = – y\left( x \right)\\
\to lẻ\\
b)y\left( { – x} \right) = \dfrac{{ – x}}{{\sin \left( { – x} \right) + \tan \left( { – x} \right)}}\\
= \dfrac{{ – x}}{{ – \sin x – \tan x}} = \dfrac{x}{{\sin x + \tan x}} = y\left( x \right)\\
\to chẵn
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