Is (sin(4x))/4 =(sin(x)cos(x))/2 ?

The answer to whether (sin(4x))/4 =(sin(x)cos(x))/2 is False

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prove (sin(4x))/4 =(sin(x)cos(x))/2

prove

\frac{sin ( 4 x )}{4} = \frac{sin ( x ) cos ( x )}{2}

False

Solution steps

\frac{sin ( 4 x )}{4} = \frac{sin ( x ) cos ( x )}{2}

Show that the two sides are not equal

For

\frac{sin ( 4 x )}{4} = \frac{sin ( x ) cos ( x )}{2}

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 )}{2} = 0.22732 \dots

\frac{sin ( 1 ) cos ( 1 )}{2}

Refine to a decimal form

= 0.22732 \dots

The two sides are not equal

\Rightarrow False

18 = 32

\frac{sin ( x ) tan ( x )}{cos ( x ) + 1} = sec (x) - 1

sin (a + b) - sin (a - b) = 2 sin (a) sin (b)

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

\frac{1}{cot ^{2} ( x )} + sec (x) cos (x) = csc^{2} (x)

Is (sin(4x))/4 =(sin(x)cos(x))/2 ?
The answer to whether (sin(4x))/4 =(sin(x)cos(x))/2 is False