What is expand 18cos(pi(4x-5t))+12cos(pi(4x-5t-1)) ?

The solution to expand 18cos(pi(4x-5t))+12cos(pi(4x-5t-1)) is 18cos(4pix-5pit)+12cos(4pix-5pit-pi)

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expand 18cos(pi(4x-5t))+12cos(pi(4x-5t-1))

expand

18 cos (π (4 x - 5 t)) + 12 cos (π (4 x - 5 t - 1))

18 cos (4 π x - 5 π t) + 12 cos (4 π x - 5 π t - π)

Solution steps

18 cos (π (4 x - 5 t)) + 12 cos (π (4 x - 5 t - 1))

Expand

π (4 x - 5 t) : 4 π x - 5 π t

= 18 cos (4 π x - 5 π t) + 12 cos (π (4 x - 5 t - 1))

Expand

π (4 x - 5 t - 1) : 4 π x - 5 π t - π

= 18 cos (4 π x - 5 π t) + 12 cos (4 π x - 5 π t - π)

\frac{2 z + 1}{z ( z ^{2} + 1 )}

2 x (a x) + 6 x^{2} (b x) + 12 x^{2} (c x)

(3 + 4 i)^{14}

3 (1 + \frac{4 y}{x} + \frac{4 y ^{2}}{x ^{2}})

y - 0.25 (sin (x) + cos (y))

What is expand 18cos(pi(4x-5t))+12cos(pi(4x-5t-1)) ?
The solution to expand 18cos(pi(4x-5t))+12cos(pi(4x-5t-1)) is 18cos(4pix-5pit)+12cos(4pix-5pit-pi)