What is expand cos^2(x)(1+tan(x)) ?

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

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expand cos^2(x)(1+tan(x))

expand

cos^{2} (x) (1 + tan (x))

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

Solution steps

cos^{2} (x) (1 + tan (x))

Apply the distributive law:

a (b + c) = ab + a c

cos^{2} (x) (1 + tan (x)) = cos^{2} (x) \cdot 1 + cos^{2} (x) tan (x)

= cos^{2} (x) \cdot 1 + cos^{2} (x) tan (x)

Simplify

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

= \frac{tan ( x ) + 1}{sec ^{2} ( x )}

x^{(\frac{3}{2})} (2 x - 7)

sin (3 x) (\frac{1}{sin ^{2} ( 9 )} - \frac{e ^{9 x}}{x})

(\frac{ln ( x )}{3 x ^{3}} + \frac{1}{9 x ^{3}}) \cdot x^{9}

cos (x) sin (x) (csc (x) + tan (x))

c (1, 3) y d (2, - 5)

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