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user100 [1]
2 years ago
15

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

#SPJ1

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
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