I am having problems understanding how to write

aanvarendbq28

aanvarendbq28

Answered question

2022-04-01

I am having problems understanding how to write an algebraic expression in x for:
sin(arcsin(x)arctan(2x))

Answer & Explanation

jmroberts70pbo2

jmroberts70pbo2

Beginner2022-04-02Added 10 answers

Assuming that x(0,1), we have:
sin(arcsinxarctan2x)=xcosarctan2x1x2sinarctan2x
by the sine addition formulas and the Pythagorean theorem in the form cosarcsinx=1x2. Since:
cosarctan2x=x4+x2
sinarctan2x=24+x2
it follows that
sin(arcsinxarctan2x)
=x221x24+x2

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