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GTYT9972
24.06.2019 •
Mathematics
An angle measuring (870n)° is in standard position. for which value of n will the terminal side fall on the y-axis? n = 3 n = 4 n = 5 n = 6
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Ответ:
The answer is n=3
Step-by-step explanation:
Given that an angle measuring (870n)° is in standard position.
we have to find the value of n for which the terminal side fall on the y-axis.
If it can written in the form of (90°)a, where a is any positive odd integer.
The terminal side fall on y-axis when a is positive odd integer.
Here, the given angle is (870n)°,
For n = 3,
Our angle will be 2610°
Its terminal side fall along the positive portion of the y-axis,
If 2610° = (90°)a ⇒ a = 29 ( Positive odd integer )
Thus, for n = 3, the terminal side of the angle (870n)° falls along the positive portion of the y-axis,
For n = 4,
Our angle will be 3480°
Its terminal side fall along the positive portion of the y-axis,
If 3480° = (90°)a ⇒ a = 38.6667 ( Not possible )
Thus, for n = 4, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis
For n = 5,
Our angle will be 4350°
Its terminal side fall along the positive portion of the y-axis,
If 4350° = (90°)a ⇒ a = 48.333.. ( Not possible )
Thus, for n = 5, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis,
For n = 6,
Our angle will be 5220°
Its terminal side fall along the positive portion of the y-axis,
If 5220° = (90°)a ⇒ a = 58 ( Not possible )
Thus, for n = 6, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis.
Ответ:
n = 3
Step-by-step explanation:
right on edg
Ответ:
-23+8= -15
-15+-4= -19
-19+21=2