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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

(5 e - 5 t sin (2 π t) + 2 π (1 - e - 5 t) cos (2 π t))^{2}

x^{2 (2 n + 2)}

e^{4 (1 + 2 t)}

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

- \frac{1}{2} (1 + e^{2 x} - ln 1 + e^{2 x})

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