Question

Which of the following represents the measures of all angles coterminal with a 418° angle?

360 + 58n, for any whole number n
58 + 360n, for any integer n
58 + 360n, for any whole number n
360 + 58n, for any integer n

Answer 1

the correct answer is B

Answer 2

The correct option is 2.

Explanation:

The given angle is

`418^(\circ)`

If we have an angle θ, where θ lies between 0 to 360°, then the co-terminal angles are defined as

`\theta+360n`

Where, n is any integer.

`418^(\circ)=58^(\circ)+360^(\circ)`

So, 58° is a co-terminal angle of 418°. All the co-terminal angle of 418° are

`58+360n`

Where n is an integer.

Therefore option 2 is correct.