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Sergeu [11.5K]
3 years ago
15

6:5 in simplest form

Mathematics
2 answers:
Westkost [7]3 years ago
7 0

Answer:

6:5

Step-by-step explanation:

6:5 is already at its simplest form.

You cannot simplify 5 anymore than it is.

But, it can be written as 1.2 in decimal form (rounded to 6 decimal places).

Though, I do not believe that is the answer you are looking for.

mylen [45]3 years ago
3 0

Answer:

6:5 is already in simplest form.

Step-by-step explanation:

When writing ratios, you do not put decimals in the ratio. You can convert the ratio into decimals, but should not have them in the ratio. 6 and 5 have no more common factors that aren't decimals, so therefore 6:5 is in simplest form.

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========================================================

\theta is in Q1 so \sin(\theta) > 0

Use the trig identity below and plug in the given value to get...

\sin\left(\frac{x}{2}\right) = \pm \sqrt{\frac{1-\cos(x)}{2}}\\\\\sin\left(\frac{2\theta}{2}\right) = \pm \sqrt{\frac{1-\cos(2\theta)}{2}}\\\\\sin(\theta) = \sqrt{\frac{1-\cos(2\theta)}{2}} \ \ \text{since } \ \sin(\theta) > 0\\\\\sin(\theta) = \sqrt{\frac{1-\frac{12}{13}}{2}}\\\\

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------------------------------

Edit:

To find cos(theta), we use the pythagorean identity below

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