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гость7777
@гость7777
July 2022
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Решите на листочке 2 задание, даю 30 баллов
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dasdasfa
F(x)=cos 4x+sin^2 x
если на четность
f(-x)=cos(-4x)+sin^2 (-x)=cos4x+sin^2 x=f(x); F(x)-четная
f(x+2π)=f(x) периодичность
f(x+2π)=cos(4(x+2π) +sin^2 (x+2π)=cos(4(x+2π)+sin^2x=cos4x+sin^2 x=
=f(x) четная
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Answers & Comments
если на четность
f(-x)=cos(-4x)+sin^2 (-x)=cos4x+sin^2 x=f(x); F(x)-четная
f(x+2π)=f(x) периодичность
f(x+2π)=cos(4(x+2π) +sin^2 (x+2π)=cos(4(x+2π)+sin^2x=cos4x+sin^2 x=
=f(x) четная