CHAPTER 4. TRIGONOMETRY473.
ñ= M=
P
P N=
P=
P
P
− −N= − P=
~êÅí~å =ñ M°= PM° QR° SM° −PM°−QR°
=
−SM°=
~êÅÅçíñ= VM° SM° QR° PM° NOM°=NPR°
=
NRM°=
=
=
=
4.19 Relations between Inverse
Trigonometric Functions
=
- ~êÅëáå()−ñ =−~êÅëáåñ=
=- ~êÅÅçëñ
O
~êÅëáåñ −
π
= ==
~êÅëáåñ=~êÅÅçë N−ñOI=M≤ñ≤NK=
~êÅëáåñ=−~êÅÅçë N−ñOI=−N≤ñ≤MK=
- O
N ñ
ñ
~êÅëáåñ ~êÅí~å
−= I=ñ NO<
K=
=
479.
ñN ñ
~êÅëáåñ ~êÅÅçí− O
= I=M<ñ≤NK==- −π
−
=
ñN ñ
~êÅëáåñ ~êÅÅçíO
I=−N≤ñ<MK==- ~êÅÅçë()−ñ =π−~êÅÅçëñ=