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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{cos ( 1 )}{1 + sin ( 1 )} + tan (1) = 1.85081 \dots

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

Refine to a decimal form

= 1.85081 \dots

cos (1) = 0.54030 \dots

cos (1)

Refine to a decimal form

= 0.54030 \dots

The two sides are not equal

\Rightarrow False

cot^{2} (x) sec^{2} (x) = 1 + \frac{1}{tan ^{2} ( x )}

tan^{2} (0) = 1 - sec (0)

cos^{3} (A) = \frac{1}{4} (cos (3 A) + 3 cos (A))

\frac{sin ( 6 x ) - sin ( 2 x )}{cos ( 6 x ) - cos ( 2 x )} = - \frac{cos ( 4 x )}{sin ( 4 x )}

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

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