SOLUTION: Write the trig function as an algebraic expression: sin(2arctanx) PLEASE HELP ME!!! I really don't know what to do.

Question 180507: Write the trig function as an algebraic expression: sin(2arctanx)
PLEASE HELP ME!!! I really don't know what to do.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You have to say this one in a way that makes sense
In words:
First, "arctan(x)" means "the angle whose tangent is x"
Therefore, "2*arctan(x)" means twice the angle whose tangent is x"
Now I can read the whole thing as:
"the sine of twice the angle whose tangent is x"
If the tangent is , then the sine is
and the cosine is
The double angle formula for sine is:

answer
Suppose the angle was 45 degrees. Then and

and this is true

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