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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Simplify

= \frac{sin ( x )}{cos ( x )}

Use the basic trigonometric identity:

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

= tan (x)

We showed that the two sides could take the same form

\Rightarrow True

cos (6 0^{\circ} + θ) - cos (6 0^{\circ} - θ) = - 3 sin (θ)

cos (θ) cot (θ) = \frac{1}{sin ( θ )} - sin (θ)

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

sin^{4} (a) - cos^{4} (a) = 2 sin^{2} (a) - 1

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

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