Find an angle 0 coterminal to 801°, where 0° < 0 < 360°.

Question

asked Sep 20, 2021 213k views

1 Answer

Casey Rodarmor · Answer 1 · 2021-09-26T09:50:42+0000

Answer:

$\alpha' = 81^(\circ)$

Explanation:

Angle is periodical function, so that following condition is satisfied:

$\alpha = n \cdot 360^(\circ)$

$n = (801^(\circ))/(360^(\circ))$

n = 2.225

The position of the coterminal angle is:

n' = 2.225 - 2

n' = 0.225

$\alpha' = n' \cdot 360^(\circ)$

$\alpha' = (0.225)\cdot (360^(\circ))$

$\alpha' = 81^(\circ)$