What is expand-sin(x)(1-sin(x)) ?

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

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expand-sin(x)(1-sin(x))

expand

- sin (x) (1 - sin (x))

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

Solution steps

- sin (x) (1 - sin (x))

Apply the distributive law:

a (b - c) = ab - a c

- sin (x) (1 - sin (x)) = - sin (x) \cdot 1 - (- sin (x)) sin (x)

= - sin (x) \cdot 1 - (- sin (x)) sin (x)

Simplify

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

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

22 (1 + 9 e^{- 0.1 t})

e^{2 t} u (t - 1)

\frac{( - b + { 2 } ( b ^{2} - 4 a c ) )}{2 a}

(lo g_{10} (2) - 1) \cdot 10

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

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