Is (csc(x)tan(x))/(1+tan(x))=cos(x) ?

The answer to whether (csc(x)tan(x))/(1+tan(x))=cos(x) is False

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prove (csc(x)tan(x))/(1+tan(x))=cos(x)

prove

\frac{csc ( x ) tan ( x )}{1 + tan ( x )} = cos (x)

False

Solution steps

\frac{csc ( x ) tan ( x )}{1 + tan ( x )} = cos (x)

Show that the two sides are not equal

For

\frac{csc ( x ) tan ( x )}{1 + tan ( x )} = cos (x)

plug in

x = 1

\frac{csc ( 1 ) tan ( 1 )}{1 + tan ( 1 )} = 0.72370 \dots

\frac{csc ( 1 ) tan ( 1 )}{1 + tan ( 1 )}

Refine to a decimal form

= 0.72370 \dots

cos (1) = 0.54030 \dots

cos (1)

Refine to a decimal form

= 0.54030 \dots

The two sides are not equal

\Rightarrow False

sin (- \frac{π}{4}) = - sin (\frac{π}{4})

1 - 2 sin^{4} (x) = 1 - 2 sin^{2} (x)

sin (z + w) = sin (z) cos (w) + cos (z) sin (w)

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

sin (2 x) = 2 sin (x)

Is (csc(x)tan(x))/(1+tan(x))=cos(x) ?
The answer to whether (csc(x)tan(x))/(1+tan(x))=cos(x) is False