How do you find the coterminal with the angle #30^circ#?

1 Answer
Jim H · sankarankalyanam
Aug 8, 2017

Add or subtract any whole number multiple of #360^@#.

Explanation:

We con go all the way around the circle in either diection and and up on the positive #x# axis. If we then go #30^@# more, we get an angle that is coterminal with #30^@#.

#360^@+30^@ = 390^@# is coterminal with #30^@#.

#2xx360^@ + 30^@ = 780^@+30^@ = 810^@# is coterminal with #30^@#.

#10xx360^@ + 30^@ = 3600^@+30^@ = 3630^@# is coterminal with #30^@#.

#-360^@+30^@ = -330^@# is coterminal with #30^@#.

#4xx-360^@+30^@ = -1440^@+30^@ = -1410^@# is coterminal with #30^@#.

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