Corollary: Arguments for which Cosine and Sine are Equal to Each Other

(related to Proposition: Special Values for Real Sine, Real Cosine and Complex Exponential Function)

For all real numbers $x\in\mathbb R$, the values of the real cosine and real sine are equal to each other for the arguments $x$ and $\pi/2-x,$ (where $\pi$ denotes the $\pi$ constant), formally $$\cos\left(\frac\pi2-x\right)=\sin(x),\quad\quad\sin\left(\frac\pi2-x\right)=\cos(x).$$

Proofs: 1


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983