SOLUTION: Could you please help me with the following problem, Use a right triangle to write the following expression as an algebraic expression. Assume that x is positive and in the given

Question 1012334: Could you please help me with the following problem,
Use a right triangle to write the following expression as an algebraic expression. Assume that x is positive and in the given inverse trigonometric function
tan(arccos 2x)
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.
Use a right triangle to write the following expression as an algebraic expression.
Assume that x is positive and in the given inverse trigonometric function tan(arccos 2x)
------------------------------------------------------------------

Let  = arccos(2x).

It means that  = 2x and  lies in the 1st or in the 2nd quadrant.

We need to express  via x.


Since  = 2x,  =  = .

Therefore,  =  = .

Answer.  = .

--------------------------------------------------------------

Your formulation is not perfect.
The right formulation is

"Find if = 2x."

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