What is expand tan(θ)(cot(θ)-cos(θ)) ?

The solution to expand tan(θ)(cot(θ)-cos(θ)) is cot(θ)tan(θ)-sin(θ)

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expand tan(θ)(cot(θ)-cos(θ))

expand

tan (θ) (cot (θ) - cos (θ))

cot (θ) tan (θ) - sin (θ)

Solution steps

tan (θ) (cot (θ) - cos (θ))

Apply the distributive law:

a (b - c) = ab - a c

tan (θ) (cot (θ) - cos (θ)) = tan (θ) cot (θ) - tan (θ) cos (θ)

= tan (θ) cot (θ) - tan (θ) cos (θ)

Simplify

tan (θ) cot (θ) - tan (θ) cos (θ) : cot (θ) tan (θ) - sin (θ)

= cot (θ) tan (θ) - sin (θ)

\frac{d ^{2}}{d k ^{2}} ((y (k, x)) (e^{2 x} - k x))

(x - y) d x + x d y

(1 + 4 y i)^{2}

(cot (x) - 3) (csc (x) + 2)

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) \frac{d y}{d x}

What is expand tan(θ)(cot(θ)-cos(θ)) ?
The solution to expand tan(θ)(cot(θ)-cos(θ)) is cot(θ)tan(θ)-sin(θ)