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

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

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Answer 1 · 2017-08-08T00:34:52

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

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