What is expand (cos(x)-sin(x))*cos(x) ?

The solution to expand (cos(x)-sin(x))*cos(x) is cos^2(x)-cos(x)sin(x)

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expand (cos(x)-sin(x))*cos(x)

expand

(cos (x) - sin (x)) \cdot cos (x)

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

Solution steps

(cos (x) - sin (x)) cos (x)

= cos (x) (cos (x) - sin (x))

Apply the distributive law:

a (b - c) = ab - a c

cos (x) (cos (x) - sin (x)) = cos (x) cos (x) - cos (x) sin (x)

= cos (x) cos (x) - cos (x) sin (x)

Simplify

cos (x) cos (x) : cos^{2} (x)

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

- i x (2 - i) (5 x + 6 i)

- \frac{1}{s + 1} - 2 s - 2 + (\frac{1}{s + 1})

3 (5 + 13)

(8 x - 3) (6 x + 2)

- \frac{8 x}{( x ^{2} + 1 ) ^{2}}

What is expand (cos(x)-sin(x))*cos(x) ?
The solution to expand (cos(x)-sin(x))*cos(x) is cos^2(x)-cos(x)sin(x)