Чему равно (1-cos2a)^2?. Created by MiraiFoxx. algebra-ru

Ответ:Объяснение:Формула косинуса двойного угла: Также используем основное тригонометрическое тождество: Подставляем:

Чему равно (1-cos2a)^2?...

MiraiFoxx @MiraiFoxx

August 2022 1 19 Report

Чему равно (1-cos2a)^2?

Answers & Comments

juliaivanovafeo

Ответ:

$sin^{4} a$

Объяснение:

Формула косинуса двойного угла:

$cos2a = cos^{2}a - sin^{2} a$

Также используем основное тригонометрическое тождество:

$cos^{2} a+ sin^{2} a = 1$

Подставляем:

$(1 - cos2a)^{2} = (1 - (cos^{2}a - sin^{2} a))^{2} = (1 - cos^{2} a+ sin^{2} a)^{2} = \\\\ = ( cos^{2}a + sin^{2} a - cos^{2}a + sin^{2} a)^{2} = (sin^{2}a )^{2} = sin^{4} a$

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