What is 1/2 (arcsin(x)-1/2 sin(2arcsin(x))) ?

The solution to 1/2 (arcsin(x)-1/2 sin(2arcsin(x))) is (arcsin(x)-1/2 sin(2arcsin(x)))/2

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simplify 1/2 (arcsin(x)-1/2 sin(2arcsin(x)))

simplify

\frac{1}{2} (arcsin (x) - \frac{1}{2} sin (2 arcsin (x)))

\frac{arcsin ( x ) - \frac{1}{2} sin ( 2 arcsin ( x ) )}{2}

Solution steps

\frac{1}{2} (arcsin (x) - \frac{1}{2} sin (2 arcsin (x)))

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( arcsin ( x ) - \frac{1}{2} sin ( 2 arcsin ( x ) ) )}{2}

Apply rule:

1 \cdot a = a

1 \cdot (arcsin (x) - \frac{1}{2} sin (2 arcsin (x))) = (arcsin (x) - \frac{1}{2} sin (2 arcsin (x)))

= \frac{arcsin ( x ) - \frac{1}{2} sin ( 2 arcsin ( x ) )}{2}

(x x - 1) (1 - x)

\frac{z}{( z + 2 ) ( z - 3 )}

(2 - x - 2) (2 + x - 2)

(x + \frac{2}{x})^{8}

\frac{3 x ^{2} - 5 x - 17}{( x + 3 ) ( x - 2 ) ^{2}}

What is 1/2 (arcsin(x)-1/2 sin(2arcsin(x))) ?
The solution to 1/2 (arcsin(x)-1/2 sin(2arcsin(x))) is (arcsin(x)-1/2 sin(2arcsin(x)))/2