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Andrej [43]
3 years ago
8

When u are doing math and u have a question with pi in it don't u use "3.14" or do u use "3.141" or is it "3.14159?

Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0
Usually, I use 3.14.
Bingel [31]3 years ago
4 0
It ultimatley depends on your teacher, or the question you are answering. Some questions will specify, saying something like "Use 3.141 for pi", or sometimes teachers will always want you to use a specific number for pi. Personally, I use as many places of pi that will fit on my calculator, and then whatever I get for my answer I will shrink it so that it only has 3 decimal places. Honestly, you should be fine if you just 3.14 for most equations though!
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Answer:

6=100°

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7=100°

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Step-by-step explanation:

If 6 is 100°

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solmaris [256]

Answer:

\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

In other words, the x in f(x) = 3\, \tan(23\, x) could be any real number as long as x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) for all integer k (including negative integers.)

Step-by-step explanation:

The tangent function y = \tan(x) has a real value for real inputs x as long as the input x \ne \displaystyle k\, \pi + \frac{\pi}{2} for all integer k.

Hence, the domain of the original tangent function is \mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

On the other hand, in the function f(x) = 3\, \tan(23\, x), the input to the tangent function is replaced with (23\, x).

The transformed tangent function \tan(23\, x) would have a real value as long as its input (23\, x) ensures that 23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2} for all integer k.

In other words, \tan(23\, x) would have a real value as long as x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right).

Accordingly, the domain of f(x) = 3\, \tan(23\, x) would be \mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

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