Is (cot^2(x))/(csc(x)-1)=cot(x)+1 ?

The answer to whether (cot^2(x))/(csc(x)-1)=cot(x)+1 is False

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prove (cot^2(x))/(csc(x)-1)=cot(x)+1

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{cot ^{2} ( 1 )}{csc ( 1 ) - 1} = 2.18839 \dots

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

Refine to a decimal form

= 2.18839 \dots

cot (1) + 1 = 1.64209 \dots

cot (1) + 1

Refine to a decimal form

= 1.64209 \dots

The two sides are not equal

\Rightarrow False

\frac{sin ^{2} ( x )}{sin ( x )} = \frac{2}{sec ( x )}

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

sin (3 x) = 3 sin (x) - 4 sin (3 x)

cos (2 b + b) = 4 cos^{3} (b) - 3 cos (b)

2 cos^{2} (A) = 1 + cos (2 A)

Is (cot^2(x))/(csc(x)-1)=cot(x)+1 ?
The answer to whether (cot^2(x))/(csc(x)-1)=cot(x)+1 is False