Is (sin^2(x))/(cos(x))=tan(x)+sin(x) ?

The answer to whether (sin^2(x))/(cos(x))=tan(x)+sin(x) is False

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prove (sin^2(x))/(cos(x))=tan(x)+sin(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{sin ^{2} ( 1 )}{cos ( 1 )} = 1.31051 \dots

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

Refine to a decimal form

= 1.31051 \dots

tan (1) + sin (1) = 2.39887 \dots

tan (1) + sin (1)

Refine to a decimal form

= 2.39887 \dots

The two sides are not equal

\Rightarrow False

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

cot (x) tan (x) = csc (x) sec (x)

sec (x) - cos (x) = (1 - cos (x)) (1 + sec (x))

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

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

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