Versine

The versine function $\mathrm{versin} \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by the formula $$\mathrm{versin}(z)=1-\cos(z),$$ where $ \cos$ denotes the cosine function.

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  Plot of $\mathrm{versin}$ on $[-10,10]$.

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  Domain coloring of $\mathrm{versin}$.

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  Trig functions diagram using the unit circle.

Properties

Derivative of versine
Antiderivative of versine

References

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.3.147$