What is expand 20(cos(30i)+sin(30j)) ?

The solution to expand 20(cos(30i)+sin(30j)) is 20cos(30i)+20sin(30j)

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expand 20(cos(30i)+sin(30j))

expand

20 (cos (30 i) + sin (30 j))

20 cos (30 i) + 20 sin (30 j)

Solution steps

20 (cos (30 i) + sin (30 j))

Apply the distributive law:

a (b + c) = ab + a c

a = 20, b = cos (30 i), c = sin (30 j)

= 20 cos (30 i) + 20 sin (30 j)

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What is expand 20(cos(30i)+sin(30j)) ?
The solution to expand 20(cos(30i)+sin(30j)) is 20cos(30i)+20sin(30j)