How to simplify 3sin^2x + 3(1-sin^2x)

1 answer:

5 0

$\bf \textit{Pythagorean Identities}\\\\sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\[-0.35em]\rule{34em}{0.25pt}\\\\3sin^2(x)+3[1-sin^2(x)]\implies 3sin^2(x)+3cos^2(x)\\\\\\\stackrel{\textit{common factor}}{3[sin^2(x)+cos^2(x)]}\implies 3(1)\implies 3$

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You have not provided the options, therefore, I cannot give an exact answer. However, I can help you with the procedures.

We are given that the ratio between the width and the length of the flag is 10 to 19.
This means that:
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Therefore, to get the correct choice, all you have to do is divide the width by the length, if the result is 10/19, then the dimensions given are correct.

Examples:
For length = 190 and width = 100,
width / length = 100 / 190 = 10 / 19 .........> correct choice

For length = 1.9 and width = 1,
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<h3>Given</h3>

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<h3>Solution</h3>

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