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Четност и нечетност на sin и cos (11 клас)

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Четност и нечетност на sin и cos (11 клас)

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Задачи за четност и нечетност

Created by

Незиле Мелезимова
Незиле Мелезимова
Bulgaria

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Четност и нечетност на sin и cos (11 клас)
 

Четност и нечетност на sin и cos (11 клас)Online version

Задачи за четност и нечетност

by Незиле Мелезимова
1

Кое от следните твърдения е вярно за функцията sin x?

Written answer

2

Кое от следните е вярно за cos x?

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3

Какво е стойността на sin(-x) във връзка със sin x?

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4

Какво е стойността на cos(-x) във връзка с cos x?

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5

Кой е пример за нечета функция?

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6

Кой е пример за четна функция?

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7

Кое е вярно за f(x)=sin(−x)?

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8

Кое е вярно за f(x)=cos(−x)?

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9

Коя е четната функция сред тези: cos x, sin x, tan x?

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10

Коя е нечетна функция сред тези: cos x, sin x, |x|?

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11

Какво е вярно за sin(−x) и cos(−x) едновременно?

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12

Ако f(x)=sin x е нечета, какво е f(−x)?

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13

Ако g(x)=cos x е четна, какво е g(−x)?

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14

Коя от следните функции е четна за всички x?

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Feedback

Sin x е нечета функция: sin(-x) = -sin x.

Cos x е четна: cos(-x) = cos x.

Sinus е нечетна: sin(-x) = -sin x.

Косинусът е четен: cos(-x) = cos x.

Sinus е нечета.

Cosinus е четен.

Не е вярно за sin(−x)=−sin x.

cos(−x)=cos x.

Само cos x е четна.

Sin x е нечетна; |x| е четна.

Sin(−x)=−sin x; cos(−x)=cos x.

Значението е −sin x.

g(−x)=cos(−x)=cos x.

Само cos x е четна.

 
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