Is (sin(4x))/4 =(sin(x)cos(x))/4 ?

The answer to whether (sin(4x))/4 =(sin(x)cos(x))/4 is False

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prove (sin(4x))/4 =(sin(x)cos(x))/4

prove

\frac{sin ( 4 x )}{4} = \frac{sin ( x ) cos ( x )}{4}

False

Solution steps

\frac{sin ( 4 x )}{4} = \frac{sin ( x ) cos ( x )}{4}

Show that the two sides are not equal

For

\frac{sin ( 4 x )}{4} = \frac{sin ( x ) cos ( x )}{4}

plug in

x = 1

\frac{sin ( 4 \cdot 1 )}{4} = - 0.18920 \dots

\frac{sin ( 4 \cdot 1 )}{4}

Refine to a decimal form

= - 0.18920 \dots

\frac{sin ( 1 ) cos ( 1 )}{4} = 0.11366 \dots

\frac{sin ( 1 ) cos ( 1 )}{4}

Refine to a decimal form

= 0.11366 \dots

The two sides are not equal

\Rightarrow False

csc^{2} (x) \cdot cos^{2} (x) = cot^{2} (x)

\frac{1}{sec ^{3} ( x ) cos ^{4} ( x )} = sec (x)

csc^{2} (θ) + 1 = cot^{2} (θ)

cos (x) sin (x) = \frac{sin ( x )}{sec ( x )}

- sin^{2} (θ) = cos^{2} (θ)

Is (sin(4x))/4 =(sin(x)cos(x))/4 ?
The answer to whether (sin(4x))/4 =(sin(x)cos(x))/4 is False