What is tan(x)-cot(x) ?

The solution to tan(x)-cot(x) is -2cot(2x)

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simplify tan(x)-cot(x)

simplify

tan (x) - cot (x)

- 2 cot (2 x)

Solution steps

tan (x) - cot (x)

Express with sin, cos

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

Rewrite using trig identities

= - 2 cot (2 x)

\frac{36}{\frac{2 ^{3}}{4} \cdot 3 + 15}

5 x^{10} y^{5} - 10 x^{7} y^{8} - 25 x^{11} y^{9}

(1 + sin (x)) (1 - sin (x))

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

cos^{2} (4 x) + sin^{2} (4 x)