Question

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

Answer 1

Answer:

$\alpha' = 81^{\circ}$

Step-by-step explanation:

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

$\alpha = n \cdot 360^{\circ}$

$n = \frac{801^{\circ}}{360^{\circ}}$

$n = 2.225$

The position of the coterminal angle is:

$n' = 2.225 - 2$

$n' = 0.225$

$\alpha' = n' \cdot 360^{\circ}$

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

$\alpha' = 81^{\circ}$