1300 Math Formulas

(Dana P.) #1
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


=



  1. ~êÅëáå()−ñ =−~êÅëáåñ=


=


  1. ~êÅÅçëñ
    O


~êÅëáåñ −
π
= =

=



  1. ~êÅëáåñ=~êÅÅçë N−ñOI=M≤ñ≤NK=




  2. ~êÅëáåñ=−~êÅÅçë N−ñOI=−N≤ñ≤MK=



  3. O
    N ñ


ñ
~êÅëáåñ ~êÅí~å

= I=ñ N

O<


K=


=


479.


ñ

N ñ
~êÅëáåñ ~êÅÅçí

− O


= I=M<ñ≤NK=

=


  1. −π



=


ñ

N ñ
~êÅëáåñ ~êÅÅçí

O
I=−N≤ñ<MK=

=


  1. ~êÅÅçë()−ñ =π−~êÅÅçëñ=

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