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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

1 - \frac{sin ( 1 )}{1 + cos ( 1 )} = 0.45369 \dots

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

Refine to a decimal form

= 0.45369 \dots

cos (1) = 0.54030 \dots

cos (1)

Refine to a decimal form

= 0.54030 \dots

The two sides are not equal

\Rightarrow False

2 cos (3 x) = cot (3 x)

cos^{2} (θ) tan^{2} (θ) + cos^{2} (θ) = 1

\frac{sin ( θ ) csc ( θ )}{tan ( θ )} = cot (θ)

sec^{2} (θ) + csc (θ) = - sec^{2} (θ) csc (θ)

tan (5 x) = tan (3 x) sec (2 x) - tan (3 x)

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