What is (cos(x)-sin(x))/(sin(x)) ?

The solution to (cos(x)-sin(x))/(sin(x)) is cot(x)-1

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simplify (cos(x)-sin(x))/(sin(x))

simplify

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

cot (x) - 1

Solution steps

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

Rewrite using trig identities

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

Expand

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

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

Rewrite using trig identities

= cot (x) - 1

(a + 1) (b + 1) (c + 1)

\frac{24}{120}

1 0^{2} + 6^{2}

\frac{140}{3}

\frac{5}{6} - \frac{7}{10}

What is (cos(x)-sin(x))/(sin(x)) ?
The solution to (cos(x)-sin(x))/(sin(x)) is cot(x)-1