An angle in standard position in the standard(x,y) coordinate plane has its vertex at the origin(0,0), and its initial side on the positive x-axis. If the measure of an angle in standard position is 2,397°, an angle of what degree measure has the same terminal side?

Question

amistre64 · Answer

divide by 360 to get a remainder

anonymous · Answer

so 2,397/360?

amistre64 · Answer

2397 = 360n + R

where R is the same angle between 0 and 360

amistre64 · Answer

so yes; but dont take it into the decimals; just determine the remainder part

amistre64 · Answer

2397 = R (mod 360)

anonymous · Answer

so i take it that solve for R to get my answer?

amistre64 · Answer

correct

anonymous · Answer

solve this 1:
2397 = R (mod 360)

or this 1: 
2397 = 360n + R

anonymous · Answer

?

amistre64 · Answer

both are the same, just different notations

anonymous · Answer

ok

anonymous · Answer

i can solve either 1 for R and still get the same answer?

amistre64 · Answer

yes

amistre64 · Answer

2397/360 = 6.658...  ; ignore the decimal and you have "n"

2397 = 360(6) + R