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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{sin ( 1 )}{1 - cos ^{2} ( 1 )} = 1.18839 \dots

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

Refine to a decimal form

= 1.18839 \dots

cos (1) = 0.54030 \dots

cos (1)

Refine to a decimal form

= 0.54030 \dots

The two sides are not equal

\Rightarrow False

p ro v e sin^{2} (x) - cos^{2} (x) = 2 (sin^{2} (x)) - 1

p ro v e sin^{2} (3 x) = 9 sin^{3} (x) cos^{3} (x)

p ro v e sin^{2} (x) + cos (- 2 x) = cos^{2} (x)

p ro v e sin (\frac{π}{2} + a) = cos (a)

p ro v e 2 sin^{2} (x) - cos (x) - 2 = 0

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