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

User Tenbits
by
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1 Answer

3 votes

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)

User Casey Rodarmor
by
5.7k points