Is cot(x)+(cos(x))/(1-cos(x))=sin(x) ?

The answer to whether cot(x)+(cos(x))/(1-cos(x))=sin(x) is False

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prove cot(x)+(cos(x))/(1-cos(x))=sin(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

cot (1) + \frac{cos ( 1 )}{1 - cos ( 1 )} = 1.81743 \dots

cot (1) + \frac{cos ( 1 )}{1 - cos ( 1 )}

Refine to a decimal form

= 1.81743 \dots

sin (1) = 0.84147 \dots

sin (1)

Refine to a decimal form

= 0.84147 \dots

The two sides are not equal

\Rightarrow False

\frac{csc ( x ) - 1}{1 - sin ( x )} = csc (x)

\frac{1}{cot ( x ) cos ( x ) tan ( x )} = sec (x)

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

2 sin (- t) cos (- t) = 2 sin (- t) cos (t)

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

Is cot(x)+(cos(x))/(1-cos(x))=sin(x) ?
The answer to whether cot(x)+(cos(x))/(1-cos(x))=sin(x) is False