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Trigonometric

Details

Returns the interval sine sin⁡(x)\sin(x).

sin⁡:IR→IR\sin: \mathbb{IR} \rightarrow \mathbb{IR}


Details

Returns the interval cosine cos⁡(x)\cos(x).

cos⁡:IR→IR\cos: \mathbb{IR} \rightarrow \mathbb{IR}


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Returns the interval tangent tan⁡(x)\tan(x).

tan⁡:IR→IR\tan: \mathbb{IR} \rightarrow \mathbb{IR}


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Returns the interval arcsine arcsin⁡(x)\arcsin(x).

arcsin⁡:IR→IR\arcsin: \mathbb{IR} \rightarrow \mathbb{IR}


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Returns the interval arccosine arccos⁡(x)\arccos(x).

arccos⁡:IR→IR\arccos: \mathbb{IR} \rightarrow \mathbb{IR}


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Returns the interval arctangent arctan⁡(x)\arctan(x).

arctan⁡:IR→IR\arctan: \mathbb{IR} \rightarrow \mathbb{IR}


interval<T> atan2(interval<T> y, interval<T> x)

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Details

Returns the interval two-argument arctangent arctan⁡2(y,x)\arctan2(y, x).

arctan⁡2:IR×IR→IR\arctan2: \mathbb{IR}\times\mathbb{IR} \rightarrow \mathbb{IR}


Details

Returns the interval cotangent cot⁡(x)\cot(x).

cot⁡:IR→IR\cot: \mathbb{IR} \rightarrow \mathbb{IR}


interval<T> sinpi(interval<T> x)

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Details

Returns the interval sine of πx\pi x.

sin⁡(πx):IR→IR\sin(\pi x): \mathbb{IR} \rightarrow \mathbb{IR}


interval<T> cospi(interval<T> x)

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Details

Returns the interval cosine of πx\pi x.

cos⁡(πx):IR→IR\cos(\pi x): \mathbb{IR} \rightarrow \mathbb{IR}