Question

In: Physics

Express the following angles in radians: (a) 30.0°, (b) 45.0°, (c) 60.0°, (d) 180.0°, and (e)...

Express the following angles in radians: (a) 30.0°, (b) 45.0°, (c) 60.0°, (d) 180.0°, and (e) 390°. Give as numerical values AND as fraction of π.

Expert Solution

360^o = 2 radians

1^o = 2/360 radians

a)

30^o = 30 x (2/360) = /6 = 0.523 radians

30^o = /6 radians

30^o = 0.523 radians

b)

45^o = 45 x (2/360) = /4 = 0.785 radians

45^o = /4 radians

45^o = 0.785 radians

c)

60^o = 60 x (2/360) = /3 = 1.047 radians

60^o = /3 radians

60^o = 1.047 radians

d)

180^o = 180 x (2/360) = = 3.141 radians

180^o = radians

180^o = 3.141 radians

e)

390^o = 390 x (2/360) = 13/6 = 6.806 radians

390^o = 13/6 radians

390^o = 6.806 radians

genius_generous answered 2 years ago

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