In the applet below, the graph of the function [math]f\left(x\right)=tan\left(x\right)[/math] is displayed. [br][br]Place the BIG WHITE POINT anywhere you'd like prior to sliding the slider. [br][br]Answer the questions that follow.
Write a new trigonometric identity that expresses the relationship between [math]tan\left(-x\right)[/math] and [math]tan\left(x\right)[/math].
What else can you conclude about the parent tangent function [math]f\left(x\right)=tan\left(x\right)[/math]? [br]For a hint, [url=https://www.geogebra.org/m/GY9tNvfB]click here[/url].
Given what you've observed [url=https://www.geogebra.org/m/pb8Drtd5]from this worksheet[/url] and [url=https://www.geogebra.org/m/H9BbuSwX]this worksheet[/url], how could you have derived the relationship you wrote in response to (1) without having seen the dynamics of the applet above?