DLMF:4.21.E38 (Q1742)

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DLMF:4.21.E38
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    Statements

    test
    cos ⁡ z = cos ⁡ x ⁢ cosh ⁡ y - i ⁢ sin ⁡ x ⁢ sinh ⁡ y , 𝑧 𝑥 𝑦 imaginary-unit 𝑥 𝑦 {\displaystyle{\displaystyle\cos z=\cos x\cosh y-\mathrm{i}\sin x\sinh y,}}
    0 references
    DLMF id
    DLMF:4.21.E38
    0 references
    Symbols used
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2azdec
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    hyperbolic cosine function
    test
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2aadec
    0 references
    hyperbolic sine function
    test
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2aadec
    0 references
     
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