Is 1/(tan(x)csc(x)sin(x))=cot(x) ?

The answer to whether 1/(tan(x)csc(x)sin(x))=cot(x) is True

Popular >

prove 1/(tan(x)csc(x)sin(x))=cot(x)

prove

\frac{1}{tan ( x ) csc ( x ) sin ( x )} = cot (x)

True

Solution steps

\frac{1}{tan ( x ) csc ( x ) sin ( x )} = cot (x)

Manipulating left side

\frac{1}{tan ( x ) csc ( x ) sin ( x )}

Express with sin, cos

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

Use the basic trigonometric identity:

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

= cot (x)

We showed that the two sides could take the same form

\Rightarrow True

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

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

cos^{4} (A) - sin^{4} (A) = cos (2 A)

cos (θ) (csc (θ) - sec (θ)) = cot (θ) - 1

tan^{4} (x) - sec^{4} (x) = 1 - 2 sec^{2} (x)

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