What is expand cos(x)(sqrt(2)-2sin(x)) ?

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

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expand cos(x)(sqrt(2)-2sin(x))

expand

cos (x) (2 - 2 sin (x))

2 cos (x) - sin (2 x)

Solution steps

cos (x) (2 - 2 sin (x))

Apply the distributive law:

a (b - c) = ab - a c

cos (x) (2 - 2 sin (x)) = cos (x) 2 - cos (x) \cdot 2 sin (x)

= cos (x) 2 - cos (x) \cdot 2 sin (x)

Simplify

cos (x) 2 - cos (x) \cdot 2 sin (x) : 2 cos (x) - sin (2 x)

= 2 cos (x) - sin (2 x)

(x - 9)^{2} (x - 2 i)^{2}

(1 - 3 x^{2}) \cdot (- α \cdot (2 x - 1) - β \cdot (3 x^{2} - 1) - cos (π x))

(- 2, - 8) y (0, 6)

\frac{7 x ^{2} - 18 x - 4}{( x + 1 ) ^{2} ( x + 4 )}

(e^{\frac{2 y}{5}} + 8 e^{\frac{y}{5}} + 16) (7 - y)

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