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horrorfan [7]
3 years ago
15

Amanda had 4 pages of math makeup work and 6 pages of reading homework to makeup. If each page for math and reading had 4 questi

ons on it, how many questions did she have to complete in all
Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Answer: 40 questions

Step-by-step explanation:

There were 4 pages for math so she had:

= 4 * 4

= 16 math questions

There were 6 pages of reading so she had:

= 6 * 4

= 24 reading questions

In total she had:

= 16 + 24

= 40 questions

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Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}

Then the identity can be rewritten as:

sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\

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\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)

Now we can use the identity:

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Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

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2 years ago
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I’ve included a graph below to help explain why but basically if you count the squares, each side measures 4 1/2 units so if you multiply 4 1/2 units by 4(the number of sides) you get 18.

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Step-by-step explanation:

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