CHAPTER 4. TRIGONOMETRY
473.
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 N
O<
K=
=
479.
ñ
N ñ
~êÅëáåñ ~êÅÅçí
− O
= I=M<ñ≤NK=
=
- −π
−
=
ñ
N ñ
~êÅëáåñ ~êÅÅçí
O
I=−N≤ñ<MK=
=
- ~êÅÅçë()−ñ =π−~êÅÅçëñ=