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Vsevolod [243]
3 years ago
10

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

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

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°

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