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

User Kico Lobo
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2 Answers

4 votes

N=6 is the answer........


User Domdomegg
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7 votes

Answer with explanation:

Measure of an angle in standard Position = (525 n)°

Terminal side will fall on Y axis, if multiple of 525 will be an Odd multiple of 90.

Finding , multiple of 525,which have unit digit , 0

→525 × 2=1050

Sum of the digits =1+0 +5+0 =6

Since sum of the digit is not divisible by, 9.So this angle that is , 1050° will not fall on y axis.

→525×4=2100

Sum of the digits =2+1+0+0=3

Since sum of the digit is not divisible by, 9.So this angle that is , 2100° will not fall on y axis.

→525 × 6=3150°

Sum of the digits =3+1 +5+0 =9

Since sum of the digit is divisible by, 9.So this angle that is , 3150° will not fall on y axis.

So, for, n=6 , the angle measuring (525 n)°, terminal side will fall on the y-axis.

User Merad
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