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# SiNX

## Collection by Shahan Shah

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To calculate the antiderivative of sinx, first of all we discuss definition of antiderivative. Antiderivative is just opposite of derivative means if g(x) is a derivative of f(x), then antiderivative of g(x) is f(x)-d (f(x)) = g(x) and antiderivative of g(x) means integration of g(x) is ∫g(x) dx = f(x) + c, dx

Here, are the formulae of derivatives of inverse trigonometric functions and we represent the inverse for trigonometric functions by ‘arc’ of the function f(x): 1. Derivative of inverse of trigonometric function, Sin(x):

Sine Graph of the sine-function sin(x). One period from 0 to 2π is drawn. x- and y-axis have the same units.

Plot of sin(x) and csc(x) with proportional scales.

lot of sin(x) with proportional scales and the gnuplot source. Version with size compatible with other my plots, to fit one gallery box.

plot(x, y, main = "Plot of sin(x) + cos(x)", xlab = "x values", ylab = "sin(x) + cos(x)", type="h", lwd = 2.5, col = "red")