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Darina [25.2K]
3 years ago
7

Determine the sign of cos pi divided by seven without using a calculator.

Mathematics
2 answers:
Sophie [7]3 years ago
3 0
The angle \frac{\pi}{7} is in Quadrant 1 and cos of an angle in quadrant 1 is always positive
Aliun [14]3 years ago
3 0

Answer:

The \cos \frac{\pi}{7} has positive sign.

Step-by-step explanation:

we need to determine the sign of  \cos \frac{\pi}{7} without using calculator

Cartesian system ( shown in figure -1)

The angle \cos \frac{\pi}{7} lies in quadrant-1 , Where angles are zero (0) to \frac{\pi}{2}

and in first quadrant all trigonometric ratios has positive sign

so,  \cos \frac{\pi}{7} has positive sign.

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

Explanation:

The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.

Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.

This is why choice C is the final answer.

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Extra info:

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