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2 years ago

What is 10 1/2 divided by 2 1/4

Mathematics

1 answer:

victus00 [196]2 years ago

7 0

Answer:

4.666666667 or 4.6_ (repeating decimal)

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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:

brainly.com/question/7331447

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7 0

2 years ago

−9,000÷3=−3,000 What does -3,000 tell me

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

SEARCH IT UP!!!!!!!

3 0

3 years ago

I need help with this

mojhsa [17]

Answer:

prop they're constant inchangeb

Step-by-step explanation:

7 0

3 years ago

Kim purchased 6 small containers of potato salad and Seth purchased 2 extra

victus00 [196]

Answer:

the difference is that the 2 extra LARGE containers weigh bigger than the

6 small ones

Step-by-step explanation:

6 0

3 years ago

Can the sides of a triangle have lengths 2, 7, and 8?

Natalka [10]

Answer:

Yes

Step-by-step explanation:

As long as any two numbers added are greater than the number not chosen they can make a triangle

2+7= 9 9 is greater than 8

8+2= 10 10 is greater than 7

7+8= 15 . 15 is greater than 2

3 0

3 years ago