Is cos(1/(sin(b)))(sin(b))/(cos(b))=1 ?

The answer to whether cos(1/(sin(b)))(sin(b))/(cos(b))=1 is False

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prove cos(1/(sin(b)))(sin(b))/(cos(b))=1

prove

cos (\frac{1}{sin ( b )}) \frac{sin ( b )}{cos ( b )} = 1

False

Solution steps

cos (\frac{1}{sin ( b )}) \frac{sin ( b )}{cos ( b )} = 1

Show that the two sides are not equal

For

cos (\frac{1}{sin ( b )}) \frac{sin ( b )}{cos ( b )} = 1

plug in

b = 1

cos (\frac{1}{sin ( 1 )}) \frac{sin ( 1 )}{cos ( 1 )} = 0.58114 \dots

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

Refine to a decimal form

= 0.58114 \dots

The two sides are not equal

\Rightarrow False

8 tan^{2} (y) (csc^{2} (y) - 1) = 8

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

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

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

3 sin (9 π - x) = 3 sin (x)

Is cos(1/(sin(b)))(sin(b))/(cos(b))=1 ?
The answer to whether cos(1/(sin(b)))(sin(b))/(cos(b))=1 is False