Question

question
find an angle \\( \theta \\) coterminal to \\( 1013^\circ \\), where \\( 0^\circ \leq \theta < 360^\circ \\).

Explanation:

Step1: Divide 1013 by 360

$1013 \div 360 = 2$ with remainder $1013 - 2 \times 360 = 1013 - 720 = 293$

Step2: Check remainder range

$0^\circ \leq 293^\circ < 360^\circ$, so it's the coterminal angle.

Answer:

293°