What is expand a(cos(φ)+φsin(φ)) ?

The solution to expand a(cos(φ)+φsin(φ)) is acos(φ)+aφsin(φ)

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expand a(cos(φ)+φsin(φ))

expand

a (cos (φ) + φ sin (φ))

a cos (φ) + a φ sin (φ)

Solution steps

a (cos (φ) + φ sin (φ))

Apply the distributive law:

a (b + c) = ab + a c

a (cos (φ) + φ sin (φ)) = a cos (φ) + a φ sin (φ)

= a cos (φ) + a φ sin (φ)

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What is expand a(cos(φ)+φsin(φ)) ?
The solution to expand a(cos(φ)+φsin(φ)) is acos(φ)+aφsin(φ)