Is tan(a)=(cos(a))/(sin(a)cot^2(a)) ?

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

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prove tan(a)=(cos(a))/(sin(a)cot^2(a))

prove

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

True

Solution steps

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

Manipulating right side

\frac{cos ( a )}{sin ( a ) cot ^{2} ( a )}

Express with sin, cos

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

Use the basic trigonometric identity:

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

= tan (a)

We showed that the two sides could take the same form

\Rightarrow True

sin (θ - π) = - sin (θ)

csc (u) sin (u) - sin^{2} (u) = cos^{2} (u)

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

cot^{2} (x) - cot^{2} (x) cos^{2} (x) = cos^{2} (x)

tan (x - π) = tan (x)

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