SOLUTION: can someone give me some guidance on how to rewrite as an algebraic expression sin(arctan(x))=sin theta?

Question 1003933: can someone give me some guidance on how to rewrite as an algebraic expression
sin(arctan(x))=sin theta?
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Let = arctan(x).

Then = x =             ----->

= =     ----->

=         ----->

- . =       ----->

= .                 ----->

= ,

= = +/- = .

Finally,   sin(arctan(x)) = .

Is this what you want?

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