What is expand cos(2*pi*f*t)(A*m*cos(2*pi*f*t)+αw) ?

The solution to expand cos(2*pi*f*t)(A*m*cos(2*pi*f*t)+αw) is Amcos^2(2pift)+wαcos(2pift)

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expand cos(2pift)(Amcos(2pift)+αw)

expand

cos (2 \cdot π \cdot f \cdot t) (A \cdot m \cdot cos (2 \cdot π \cdot f \cdot t) + α w)

A m cos^{2} (2 π f t) + w α cos (2 π f t)

Solution steps

cos (2 π f t) (A m cos (2 π f t) + α w)

= cos (2 π f t) (A m cos (2 π f t) + w α)

Apply the distributive law:

a (b + c) = ab + a c

a = cos (2 π f t), b = A m cos (2 π f t), c = α w

= cos (2 π f t) A m cos (2 π f t) + cos (2 π f t) α w

= A m cos (2 π f t) cos (2 π f t) + w α cos (2 π f t)

A m cos (2 π f t) cos (2 π f t) = A m cos^{2} (2 π f t)

= A m cos^{2} (2 π f t) + w α cos (2 π f t)

(2 + i)^{4}

(2 + i)^{3}

\frac{d ^{2}}{d x ^{2}} ((y) (2 x e^{x^{2}} - 2))

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

(2 + x) (3 - 3)

What is expand cos(2*pi*f*t)(A*m*cos(2*pi*f*t)+αw) ?
The solution to expand cos(2*pi*f*t)(A*m*cos(2*pi*f*t)+αw) is Amcos^2(2pift)+wαcos(2pift)