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3 years ago

What is a counterexample for the conjecture?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

4 0

Answer:

A counterexample for a conjecture is the statement that disproves a conjecture.

Step-by-step explanation:

To find : What is a counterexample for the conjecture?

Solution :

A conjecture is an educated guess but not yet proven. It is possible that next example shown the conjecture wrong.

A counterexample is an example that disproves or disagree a conjecture.

For example : Prime numbers - 3,7,11,23

Conjecture - All prime numbers are odd

Counterexample - 2

→ 2 is a prime number but not odd, it is an even number.

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3 years ago

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Answer:

Given: $\sin(x) = (4/5)$ .

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Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

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Given that $0 < \cos(x) < 1$ :

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Hence, $\tan(x)$ would be:

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