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2 years ago

need a lot of help

Mathematics

1 answer:

marishachu [46]2 years ago

3 0

2.60 x 12 3/4

2.60 x 12.75 (convert to decimal)

= $33.15, which is not listed.

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Help! How would I solve this trig identity?

NeTakaya

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:

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

Now we can multiply both sides by cos⁴(x) to get:

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

Now we can use the identity:

sin²(x) + cos²(x) = 1

$1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1$

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

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1 year ago

Jonah is looking over his credit card statements from the past couple of months. Last month's balance was $95. This month, it wa

Reika [66]

To start with, 76 is 80% of 95. (76/95=0.8)
This means that we take the difference from 100% of 95 and 80% of 95, and get a 20% decrease.

6 0

3 years ago

Identify the TRUE statement relating to a property of the function y = sin x

svlad2 [7]

The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

<h3>Properties of the function</h3>

The following are the properties of the sin trigonometric ratio of the function;

The sine graph rises till +1 and then falls back till -1 from where it rises again.

The function y = sin x is an odd function
The domain of y = sin x is the set of all real numbers

The range of sine function is the closed interval [-1, 1]
The amplitude of the function is half its range value
One cycle of the function is 6. 28

From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.

Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

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2 years ago

SQUARE ROOT OF 8<br><br>THANKS -,-

sergey [27]

Answer:

it's 2

Step-by-step explanation:

square root of 8 is 2

5 0