What is 1/2 sin(2arcsin(1/4 (x-3))) ?

The solution to 1/2 sin(2arcsin(1/4 (x-3))) is (sin(2arcsin(1/4 (x-3))))/2

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simplify 1/2 sin(2arcsin(1/4 (x-3)))

simplify

\frac{1}{2} sin (2 arcsin (\frac{1}{4} (x - 3)))

\frac{sin ( 2 arcsin ( \frac{1}{4} ( x - 3 ) ) )}{2}

Solution steps

\frac{1}{2} sin (2 arcsin (\frac{1}{4} (x - 3)))

Apply the fraction rule:

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

= \frac{1 \cdot sin ( 2 arcsin ( \frac{1}{4} ( x - 3 ) ) )}{2}

Apply rule:

1 \cdot a = a

1 \cdot sin (2 arcsin (\frac{1}{4} (x - 3))) = sin (2 arcsin (\frac{1}{4} (x - 3)))

= \frac{sin ( 2 arcsin ( \frac{1}{4} ( x - 3 ) ) )}{2}

\frac{( x - 1 ) ^{2}}{2 x + 1}

\frac{10}{4 - 3 x}

2 (e^{x} x - e^{x})

\frac{\frac{d}{d x} ( 5 ( x ^{4} - 6 ) )}{2}

What is 1/2 sin(2arcsin(1/4 (x-3))) ?
The solution to 1/2 sin(2arcsin(1/4 (x-3))) is (sin(2arcsin(1/4 (x-3))))/2