Question

which expression finds the measure of an angle that is coterminal with a 126° angle? 126° (275n)°, for any integer n 126° (375n)°, for any integer n 126° (450n)°, for any integer n 126° (720n)°, for any integer n

Answer 1

Answer:

126° ± (720n)°

Step-by-step explanation:

Coterminal Angles are the angles that share the same initial side and terminal sides of the given angle.

Also, for finding coterminal angles we add or subtract the multiple of 360° ( when angle is given in degress ) or $2\pi$ ( When angle is given in radians )

For example : The coterminal angles of an angle Ф are,

Ф ± (360n)°

Where, n is a non zero positive integer,

Here, Ф = 126°,

So, the coterminal angle of 126° are,

126° ± (360n)°

Since, n is an integer,

⇒ 2n is also an integer,

Thus,  the coterminal angle of 126° are

126° ± (360×2n)°

⇒ 126° ± (720n)°

For any integer n.

Last option is correct.

Answer 2

(720n) for any integer