Trig: Trigonometric Functions

In dual: Automatic Differentiation with Dual Numbers

Trigonometric Functions

Description

These functions give the obvious trigonometric functions. They respectively compute the cosine, sine, tangent, arc-cosine, arc-sine, arc-tangent, and the two-argument arc-tangent.

cospi(x), sinpi(x), and tanpi(x), compute cos(pi*x), sin(pi*x), and tan(pi*x).

Usage

## S4 method for signature 'dual'
cos(x)

## S4 method for signature 'dual'
sin(x)

## S4 method for signature 'dual'
tan(x)

## S4 method for signature 'dual'
acos(x)

## S4 method for signature 'dual'
asin(x)

## S4 method for signature 'dual'
atan(x)

## S4 method for signature 'dual,numeric'
atan2(y, x)

## S4 method for signature 'numeric,dual'
atan2(y, x)

## S4 method for signature 'dual,dual'
atan2(y, x)

## S4 method for signature 'dual'
cospi(x)

## S4 method for signature 'dual'
sinpi(x)

## S4 method for signature 'dual'
tanpi(x)

Arguments

x	dual object or numeric value.
y	dual object or numeric value.

Value

A dual object containing the transformed values according to the chosen function.

Examples

x <- dual(1, 1:0)
y <- dual(1, 0:1)

cos(x)
sin(x)
tan(x)
acos(x - 0.5)
asin(x - 0.5)
atan(x - 0.5)
atan2(x, y)
atan2(2.4, y)
atan2(x, 1.2)
cospi(1.2 * x)
sinpi(3.4 * x)
tanpi(5.6 * x)

dual documentation built on Oct. 3, 2023, 9:07 a.m.