What is expand (1+tan(x))(sec(x)tan(x)) ?

The solution to expand (1+tan(x))(sec(x)tan(x)) is sec(x)tan(x)+tan^2(x)sec(x)

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expand (1+tan(x))(sec(x)tan(x))

expand

(1 + tan (x)) (sec (x) tan (x))

sec (x) tan (x) + tan^{2} (x) sec (x)

Solution steps

(1 + tan (x)) (sec (x) tan (x))

= (sec (x) tan (x)) (1 + tan (x))

Apply the distributive law:

a (b + c) = ab + a c

(sec (x) tan (x)) (1 + tan (x)) = sec (x) tan (x) \cdot 1 + sec (x) tan (x) tan (x)

= sec (x) tan (x) \cdot 1 + sec (x) tan (x) tan (x)

Simplify

sec (x) tan (x) \cdot 1 + sec (x) tan (x) tan (x) : sec (x) tan (x) + tan^{2} (x) sec (x)

= sec (x) tan (x) + tan^{2} (x) sec (x)

(\frac{k ^{2} + k}{2})^{2}

(π + i)^{2}

\frac{z}{( z - 1 ) ^{2}}

(x^{2} - y) y^{''} (x)

+ y (1 - x^{2}) d y

What is expand (1+tan(x))(sec(x)tan(x)) ?
The solution to expand (1+tan(x))(sec(x)tan(x)) is sec(x)tan(x)+tan^2(x)sec(x)