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

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

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expand 1+cos(x)(1+cos(x))

expand

1 + cos (x) (1 + cos (x))

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

Solution steps

1 + cos (x) (1 + cos (x))

Apply the distributive law:

a (b + c) = ab + a c

cos (x) (1 + cos (x)) = cos (x) \cdot 1 + cos (x) cos (x)

= 1 + cos (x) \cdot 1 + cos (x) cos (x)

Simplify

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

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

(sec (a) - tan (a)) (sec (a) + tan (a))

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

\frac{( x ^{2} + 1 ) ^{3}}{3}

2 (2 + 2)

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

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