What is 8(arcsin(x/4)+1/2 sin(2arcsin(x/4))) ?

The solution to 8(arcsin(x/4)+1/2 sin(2arcsin(x/4))) is 8arcsin(x/4)+4sin(2arcsin(x/4))

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simplify 8(arcsin(x/4)+1/2 sin(2arcsin(x/4)))

simplify

8 (arcsin (\frac{x}{4}) + \frac{1}{2} sin (2 arcsin (\frac{x}{4})))

8 arcsin (\frac{x}{4}) + 4 sin (2 arcsin (\frac{x}{4}))

Solution steps

8 (arcsin (\frac{x}{4}) + \frac{1}{2} sin (2 arcsin (\frac{x}{4})))

Simplify

\frac{1}{2} sin (2 arcsin (\frac{x}{4})) : \frac{sin ( 2 arcsin ( \frac{x}{4} ) )}{2}

= 8 (arcsin (\frac{x}{4}) + \frac{sin ( 2 arcsin ( \frac{x}{4} ) )}{2})

Expand

8 (arcsin (\frac{x}{4}) + \frac{sin ( 2 arcsin ( \frac{x}{4} ) )}{2}) : 8 arcsin (\frac{x}{4}) + 4 sin (2 arcsin (\frac{x}{4}))

= 8 arcsin (\frac{x}{4}) + 4 sin (2 arcsin (\frac{x}{4}))

\frac{( a cs + 1 ) ( bk s + 1 )}{s ( a c k s + c bk s + c + k )}

\frac{3 ( 159 + 140 i ) ( 736 x - 420 i x )}{1471369}

\frac{5 π}{4} + \frac{5 π ( 2 + 2 + 2 + 2 - 2 )}{8}

(x^{2} + 6 x + 9) (x - \frac{7}{2}) (x^{2} - 6 x + 4)

\frac{4 ( x - 2 ) ( 2 n + 1 )}{2 n + 3}

What is 8(arcsin(x/4)+1/2 sin(2arcsin(x/4))) ?
The solution to 8(arcsin(x/4)+1/2 sin(2arcsin(x/4))) is 8arcsin(x/4)+4sin(2arcsin(x/4))