What is (cot(x))/(csc(x)-sin(x)) ?

The solution to (cot(x))/(csc(x)-sin(x)) is sec(x)

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simplify (cot(x))/(csc(x)-sin(x))

simplify

\frac{cot ( x )}{csc ( x ) - sin ( x )}

sec (x)

Solution steps

\frac{cot ( x )}{csc ( x ) - sin ( x )}

Simplify

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

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

Cancel the common factor:

cot (x)

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

Use the basic trigonometric identity:

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

= sec (x)

\frac{6}{6 3}

4 x - 8

\frac{x + 2}{x + 3 - 1}

(x - 5)^{2} - 9

2 x^{2} - 3 x - 27

What is (cot(x))/(csc(x)-sin(x)) ?
The solution to (cot(x))/(csc(x)-sin(x)) is sec(x)