What is expand acos(ωt-kx)+cos(ωt-9a(k+Δx)) ?

The solution to expand acos(ωt-kx)+cos(ωt-9a(k+Δx)) is acos(ωt-kx)+cos(ωt-9ak-9Δax)

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expand acos(ωt-kx)+cos(ωt-9a(k+Δx))

expand

a cos (ω t - k x) + cos (ω t - 9 a (k + Δ x))

a cos (ω t - k x) + cos (ω t - 9 ak - 9Δ a x)

Solution steps

a cos (ω t - k x) + cos (ω t - 9 a (k + Δ x))

Expand

ω t - 9 a (k + Δ x) : ω t - 9 ak - 9Δ a x

= a cos (ω t - k x) + cos (ω t - 9 ak - 9Δ a x)

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What is expand acos(ωt-kx)+cos(ωt-9a(k+Δx)) ?
The solution to expand acos(ωt-kx)+cos(ωt-9a(k+Δx)) is acos(ωt-kx)+cos(ωt-9ak-9Δax)