An angle measuring (525n)° is in standard position. For which value of n will the terminal side fall along the negative portion of the y-axis?

A) n = 2
B) n = 3
C) n = 5
D) n = 6

Question

contestada

Respuesta :

asadullahgiki asadullahgiki · Answer 1 · 2018-07-22T13:19:02+02:00

For n=2,

put the value 2 in the above equation we get 525*2=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 525*6=3150°.

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

Answer Link

facundo3141592 facundo3141592 · Answer 2 · 2022-05-18T11:37:29+02:00

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

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

x = R*cos(θ)

y = R*sin(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