DLMF:4.23.E16 (Q1768): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11208 / rank
 
Normal rank
Property / Symbols used: Q11208 / qualifier
 
test:

arccos z 𝑧 {\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}

\acos@@{\NVar{z}}
Property / Symbols used: Q11208 / qualifier
 
xml-id: C4.S23.SS2.p1.m6acdec
Property / Symbols used
 
Property / Symbols used: Q11242 / rank
 
Normal rank
Property / Symbols used: Q11242 / qualifier
 
test:

arcsin z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}

\asin@@{\NVar{z}}
Property / Symbols used: Q11242 / qualifier
 
xml-id: C4.S23.SS2.p1.m5acdec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1pdec

Latest revision as of 17:31, 1 January 2020

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DLMF:4.23.E16
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    Statements

    arccos z = 1 2 π - arcsin z , 𝑧 1 2 𝜋 𝑧 {\displaystyle{\displaystyle\operatorname{arccos}z=\tfrac{1}{2}\pi-% \operatorname{arcsin}z,}}
    0 references
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
    0 references
    arccos z 𝑧 {\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}
    C4.S23.SS2.p1.m6acdec
    0 references
    arcsin z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}
    C4.S23.SS2.p1.m5acdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1pdec
    0 references