What is 1/(\frac{sin(x)){cos(x)}} ?

The solution to 1/(\frac{sin(x)){cos(x)}} is cot(x)

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simplify 1/(\frac{sin(x)){cos(x)}}

simplify

\frac{1}{\frac{s i n ( x )}{c o s ( x )}}

cot (x)

Solution steps

\frac{1}{\frac{s i n ( x )}{c o s ( x )}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

Use the basic trigonometric identity:

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

= cot (x)

\frac{60}{11}

\frac{3 2}{5}

(x^{2} - 3) (x + 4)

5 (6 x^{2} + 7 x) - 14

\frac{81}{- 9}

What is 1/(\frac{sin(x)){cos(x)}} ?
The solution to 1/(\frac{sin(x)){cos(x)}} is cot(x)