Verified Answer :

asadullahgiki

For n=2,

put the value 2 in the above equation we get 5252=1050°.

1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.


For n=6,

put the value 6 in the above equation we get 5256=3150°.

3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.



facundo3141592

The value of n that causes the y-component of the terminal side to be negative is n = 2.

For which value of n the terminal side has a negative y-value?

We know that for a polar point with coordinates of (R, θ), the rectangular coordinates of an equivalent point are:

x = Rcos(θ)

y = Rsin(θ)

In this case, R does not matter, because it is always positive. We want to have a negative value of y, so we want:

y = sin(θ) < 0.

where θ = (525n)°

So we can check for different values of n, and see which one gives a negative sine:

n = 2

sin(525*2°) = -0.5

So for the first value that we tried, we found the correct option. Then we conclude the correct option is A.

If you want to learn more about the sine function:

https://brainly.com/question/6904750

#SPJ5

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