P and A will lie on the same side of x=0. ∴sin‌α>0...(i) P and B will lie on the same side of y=0. ∴cos‌α>0...(ii) P and O will lie on the same side of x+y=√
3
2
. ∴(0+0−
√3
2
)(sin‌α+cos‌α−
√3
2
)>0 ⇒(0+0−√
3
2
)(sin‌α+cos‌α−√
3
2
)>0 ⇒sin‌a+cos‌a<√
3
2
⇒sin(a+
Ï€
4
)<
√3
2
a+
Ï€
4
ε(0.
Ï€
3
)Ï…(
2Ï€
3
,π)...(iii) From Eqs.(i),(ii) and (iii), α∈(0,‌