What is expand tan(θ)(1+cot(θ)) ?

The solution to expand tan(θ)(1+cot(θ)) is tan(θ)+cot(θ)tan(θ)

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expand tan(θ)(1+cot(θ))

expand

tan (θ) (1 + cot (θ))

tan (θ) + cot (θ) tan (θ)

Solution steps

tan (θ) (1 + cot (θ))

Apply the distributive law:

a (b + c) = ab + a c

tan (θ) (1 + cot (θ)) = tan (θ) \cdot 1 + tan (θ) cot (θ)

= tan (θ) \cdot 1 + tan (θ) cot (θ)

Simplify

tan (θ) \cdot 1 + tan (θ) cot (θ) : tan (θ) + cot (θ) tan (θ)

= tan (θ) + cot (θ) tan (θ)

\frac{1}{( x + y ) ^{2}}

\frac{k ( 3 k - 1 )}{2}

(5 x^{3} z b + 7 d^{5} e^{7})^{2}

\frac{1}{n ( n + 2 )}

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

What is expand tan(θ)(1+cot(θ)) ?
The solution to expand tan(θ)(1+cot(θ)) is tan(θ)+cot(θ)tan(θ)