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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

sin^{2} (1) - \frac{cos ( 1 ) sin ( 1 )}{tan ( 1 )} = 0.41614 \dots

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

Refine to a decimal form

= 0.41614 \dots

The two sides are not equal

\Rightarrow False

tan^{2} (A) + 1 = sec^{2} (A)

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

cos (\frac{π}{2} - x) cot (x) = cos (x)

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

2 sin (9 π - x) = 2 sin (x)

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