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

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

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prove (csc(x)-1)/(csc^2(x))=cos^2(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{csc ( 1 ) - 1}{csc ^{2} ( 1 )} = 0.13339 \dots

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

Refine to a decimal form

= 0.13339 \dots

cos^{2} (1) = 0.29192 \dots

cos^{2} (1)

Refine to a decimal form

= 0.29192 \dots

The two sides are not equal

\Rightarrow False

csc (s) - sin (s) = cos (s) cot (s)

\frac{( 4 sin ^{2} ( x ) )}{tan ^{2} ( x )} = 4 cos^{2} (x)

\frac{tan ( 2 x ) + tan ( x )}{1 - tan ( 2 x ) tan ( x )} = tan (3 x)

csc (x) \cdot (sin (x) + tan (x)) = 1 + sec (x)

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

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