Is (cos(x))(cot(x))=csc(x)-sin(x) ?

The answer to whether (cos(x))(cot(x))=csc(x)-sin(x) is True

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prove (cos(x))(cot(x))=csc(x)-sin(x)

prove

(cos (x)) (cot (x)) = csc (x) - sin (x)

True

Solution steps

cos (x) cot (x) = csc (x) - sin (x)

Manipulating right side

csc (x) - sin (x)

Express with sin, cos

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

Rewrite using trig identities

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

Rewrite using trig identities

cos (x) cot (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{sec ( - x )}{tan ( x ) + cot ( x )} = sin (x)

sin (3 a) + sin (a) = 4 sin (a) - 4 sin^{3} (a)

sin (2 t) = 2 sin (t) (cos (t))

2 sin (x + 4 5^{\circ}) = sin (x) + cos (x)

4 cot (θ) = cot (θ) sin^{2} (θ)

Is (cos(x))(cot(x))=csc(x)-sin(x) ?
The answer to whether (cos(x))(cot(x))=csc(x)-sin(x) is True