DLMF:4.21.E1 (Q1703)

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DLMF:4.21.E1
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    test
    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).}}
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    DLMF id
    DLMF:4.21.E1
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