Is (sin(x))/(1-cos(x))=cot(x)+csc(x) ?

The answer to whether (sin(x))/(1-cos(x))=cot(x)+csc(x) is True

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prove (sin(x))/(1-cos(x))=cot(x)+csc(x)

prove

\frac{sin ( x )}{1 - cos ( x )} = cot (x) + csc (x)

True

Solution steps

\frac{sin ( x )}{1 - cos ( x )} = cot (x) + csc (x)

Manipulating left side

\frac{sin ( x )}{1 - cos ( x )}

Rewrite using trig identities

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

Manipulating right side

cot (x) + csc (x)

Express with sin, cos

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

We showed that the two sides could take the same form

\Rightarrow True

tan (3 0^{\circ}) = \frac{sin ( 3 0 ^{\circ} )}{cos ( 3 0 ^{\circ} )}

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

tan (2 x) - sin (2 x) = tan (2 x) sin (2 x)

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

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

Is (sin(x))/(1-cos(x))=cot(x)+csc(x) ?
The answer to whether (sin(x))/(1-cos(x))=cot(x)+csc(x) is True