Explore the amplitude, period, and phase shift by examining the graphs of various trigonometric functions. Students can select values to use within the function to explore the resulting changes in the ...

I am trying to create a cosine graph using Manim but it was different from the actual graph. How should I edit my code to make it the actual graph. Thanks in advance. from manim import * from numpy ...

In a function such as sine or cosine, we could also have a translation of the form: \(y = \sin (x - a)^\circ\) where \(a\) is called the phase angle. This is when the graph of the function has been ...

Cosine and sine of an angle θ are defined to be the x and y-coordinates of the point P on the unit circle with the property that the line from O to P makes and angle θ with the positve x-axis. cos(θ) ...

} def construct(self): self.setup_axes(animate=True) func_graph=self.get_graph(self.func_to_graph,self.function_color) func_graph2=self.get_graph(self.func_to_graph2 ...

I am have a slight problem with two recursive functions I wrote: Sine and Cosine. Each function depends on the other (and itself) to compute the value of Sine and Cosine for any value input. I am ...

In support of efforts to foreground functions as central objects of study in algebra, this study provides evidence of how secondary students use trigonometric functions in contextual tasks. The author ...

A translation is a shift of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). The value of \(a\) ...