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

The solution to (sin(x))/(cos(x))-(cos(x))/(sin(x)) is -2cot(2x)

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

simplify

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

- 2 cot (2 x)

Solution steps

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

Rewrite using trig identities

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

Express with sin, cos

= \frac{- cos ^{2} ( x ) + sin ^{2} ( x )}{cos ( x ) sin ( x )}

Rewrite using trig identities

= - 2 cot (2 x)

- 9 + - 12 - 16 + - 192

\frac{46}{5}

\frac{- \frac{3}{5}}{- \frac{4}{5}}

2 x^{2} + 7 x y + 3 y^{2}

(a - x) (a + x)

What is (sin(x))/(cos(x))-(cos(x))/(sin(x)) ?
The solution to (sin(x))/(cos(x))-(cos(x))/(sin(x)) is -2cot(2x)