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Graph each expression and use the graph to make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically. $$(\sec \theta+\tan \...

Question

Graph each expression and use the graph to make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically. $$(\sec \theta+\tan \theta)(1-\sin \theta)$$

Graph each expression and use the graph to make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically. $$(\sec \theta+\tan \theta)(1-\sin \theta)$$



Answers

Half of an identity and the graph of this half are given. Use the graph to make a conjecture as to what the right side of the identity should be. Then prove your conjecture.
$\frac{\cos x \tan x-\tan x+2 \cos x-2}{\tan x+2}=?$


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