What is expand cos(x)(1+tan(x))(1-tan(x)) ?

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

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expand cos(x)(1+tan(x))(1-tan(x))

expand

cos (x) (1 + tan (x)) (1 - tan (x))

cos (2 x) sec (x)

Solution steps

cos (x) (1 + tan (x)) (1 - tan (x))

Expand

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

= cos (x) (1 - tan^{2} (x))

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

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

= cos (2 x) sec (x)

(\frac{1}{2} n - 2 v)^{10}

\frac{- x ^{2} + 2 x + 8}{( x ^{2} + 3 x + 5 ) ^{2}}

\frac{- 3 + 2 s}{s ^{2} ( s ^{2} - 9 )}

(x^{2} - \frac{2}{x})^{10}

- π sin (π t) cos (π t) + e^{t} (3 e^{t} + 7)

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