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Tangent Identity

In the applet below, the graph of the function is displayed. Place the BIG WHITE POINT anywhere you'd like prior to sliding the slider. Answer the questions that follow.


Write a new trigonometric identity that expresses the relationship between and .


What else can you conclude about the parent tangent function ? For a hint, click here.


Given what you've observed from this worksheet and this worksheet, how could you have derived the relationship you wrote in response to (1) without having seen the dynamics of the applet above?

Quick Demo: 1:05 sec to END (BGM: Andy Hunter)