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3 years ago

What does counterexample mean

Mathematics

1 answer:

Leno4ka [110]3 years ago

5 0

an example that opposes or contradicts an idea or theory.

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Verify which of the following are identities.

-Dominant- [34]

Answer:

Only the second equation is an identity

Step-by-step explanation:

$8 \frac{\tan^2(\theta)}{\sec(\theta)} \csc^2(\theta)=8 \csc(\theta)$

Note that

$\tan^2(\theta)\csc^2(\theta)=\sec^2(\theta)$

You can confirm it:

$\frac{\sin^2(\theta)}{\cos^2(\theta)}\cdot \frac{1}{\sin^2(\theta)}= \frac{1}{cos^2(\theta)}= \sec^2(\theta)$

Therefore

$8 \frac{\sec^2(\theta)}{\sec(\theta)} =8 \csc(\theta)$

$8 \frac{\sec(\theta)}{1} =8 \csc(\theta)$

$8\sec(\theta)=8\csc(\theta)$

<h2>It is not an Identity</h2>

Let's the second one

$13 \frac{\tan^2(\theta)}{\sec(\theta)} \csc^2(\theta)=13\sec(\theta)$

In this case, we already performed the calculations, so it is true. It is an Identity.

3 0

2 years ago

Micah is planning to buy a soccer ball for $17.95. The sales tax rate is 8.25%. He wants to be sure he has enough money. How muc

hoa [83]

The amount of tax on $17.95 = $17.95 * 0.0825 = $1.48
add this to the 17.95 to get ur answer

4 0

2 years ago

Plsssss helpppp!!!!!

Natali5045456 [20]

Answer:

x = 19.42

Step-by-step explanation:

8²+x²=21²

64+x²=441

-64 -64

x²=377

x=19.41648784

rounded is 19.42

3 0

3 years ago

WILL GIVE BRAINLIEST ANSWER THIS PLZ!

Nutka1998 [239]

The answer is b, tell me if you don't understand.

8 0

3 years ago

Read 2 more answers

2√72÷√8±√2 I Need help with this question fast

Oxana [17]

2√72 / √8 ± √2

If the denominator is √8 + √2,

2√72 / √8 + √2

= 2√(2*2*2*3*3) / √(2*2*2) + √2

= 2*2*3√2 / 2√2 + √2

= 12√2 / 3√2

= 4

4 0

3 years ago