How do you simplify #sin (2 * arcsin (x))#?

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

63
Nov 8, 2016

Answer:

The answer is #=2xsqrt(1-x^2) #

Explanation:

Let #y=arcsinx#, then #x=siny#

#sin(2arcsinx)=sin2y=2sinycosy#

#cos^2y+sin^2y=1#

#cos^2y=1-x^2##=>##cosy=sqrt(1-x^2)#

#:.sin(2arcsinx)=2xsqrt(1-x^2) #

Was this helpful? Let the contributor know!
1500