Question

Which angles are coterminal with an angle drawn in standard position measuring 282°?

Answer 1

Answer:

−438°, -78°, 642°

Step-by-step explanation:

Given angle:

282°

To find the co-terminal angles of the given angle.

Solution:

Co-terminal angles are all those angles having same initial sides as well as terminal sides.

To find the positive co-terminal of an angle between 360°-720° we will add the angle to 360°

So, we have: $282\°+360\°=642\°$

To find the negative co-terminal of an angle between 0° to -360° we add it to -360°

So, we have:  $282\°-360\°=-78\°$

To find the negative co-terminal of an angle between -360° to -720° we add it to -720°

So, we have:   $282\°-720\°=-438\°$

Thus, the co-terminal angles for  282° are:

−438°, -78°, 642°