Is (sin(x))/(cos(x)cot^2(x))=tan(x) ?

The answer to whether (sin(x))/(cos(x)cot^2(x))=tan(x) is False

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prove (sin(x))/(cos(x)cot^2(x))=tan(x)

prove

\frac{sin ( x )}{cos ( x ) cot ^{2} ( x )} = tan (x)

False

Solution steps

\frac{sin ( x )}{cos ( x ) cot ^{2} ( x )} = tan (x)

Show that the two sides are not equal

For

\frac{sin ( x )}{cos ( x ) cot ^{2} ( x )} = tan (x)

plug in

x = 1

\frac{sin ( 1 )}{cos ( 1 ) cot ^{2} ( 1 )} = 3.77752 \dots

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

Refine to a decimal form

= 3.77752 \dots

tan (1) = 1.55740 \dots

tan (1)

Refine to a decimal form

= 1.55740 \dots

The two sides are not equal

\Rightarrow False

cos (θ) - cos (θ) sin^{2} (θ) = cos^{3} (θ)

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

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

cot (x) tan (x) = (sec (x)) (csc (x))

csc^{2} (t) = cot^{2} (t) + 1

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