Mathematics: Simplify the expression: sqrt(16 − x^2) as much as possible after substituting 4 sin x for x.

Simplify the expression: sqrt(16 − x^2) as much as

Ответ:

amandajennings01

12.01.2022

$\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\
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\sqrt{16-x^2}\implies \sqrt{16-[4sin(x)]^2}\implies \sqrt{16-[4^2sin^2(x)]}
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\sqrt{16-16sin^2(x)}\implies \sqrt{16[1-sin^2(x)]}\implies \sqrt{16cos^2(x)}
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\sqrt{4^2cos^2(x)}\implies \sqrt{[4cos(x)]^2}\implies 4cos(x)$

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Ответ:

ronniethefun

19.08.2021

Mathematics

26.0007137776

Step-by-step explanation:

hey, sure!

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Simplify the expression: sqrt(16 − x^2)
as much as possible after substituting "4 sin x" for x.

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Simplify the expression: sqrt(16 − x^2) as much as possible after substituting "4 sin x" for x.

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Simplify the expression: sqrt(16 − x^2)
as much as possible after substituting "4 sin x" for x.