DLMF:4.21.E1 (Q1703)

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DLMF:4.21.E1
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    Statements

    Defining formula
    sin ⁡ u ± cos ⁡ u = 2 ⁢ sin ⁡ ( u ± 1 4 ⁢ π ) = ± 2 ⁢ cos ⁡ ( u ∓ 1 4 ⁢ π ) . plus-or-minus 𝑢 𝑢 2 plus-or-minus 𝑢 1 4 𝜋 plus-or-minus 2 minus-or-plus 𝑢 1 4 𝜋 {\displaystyle{\displaystyle\sin u\pm\cos u=\sqrt{2}\sin\left(u\pm\tfrac{1}{4}% \pi\right)=\pm\sqrt{2}\cos\left(u\mp\tfrac{1}{4}\pi\right).}}
    0 references
    DLMF id
    DLMF:4.21.E1
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
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