Question

Find the coterminal angle between 0 and 360°of the angle -280°

Answer 1

Answer: So, the coterminal angle of 450° is -90°.

Step-by-step explanation:(i) 395°  

Write 395° in terms of 360°.

395°  =  360° + 35°

So, the coterminal angle of 395° is 35◦

(ii) 525°

Write 525° in terms of 360°.

525°  =  360° + 165°  

So, the coterminal angle of 525° is 165°.

(iii) 1150°

Write 1150° in terms of 360°.

1150°  =  3(360°) + 70°  

So, the coterminal angle of 1150° is 70°.

(iv) -270°

Write -270° in terms of 360°.

-270°  =  -360° + 90°

So, the coterminal angle of 270° is 90°.

(v) -450°

Write -450° in terms of 360°.

-450°  =  -360° - 90°  

So, the coterminal angle of 450° is -90°.