What is expand 20i+15(cos(60i)+sin(60j)) ?

The solution to expand 20i+15(cos(60i)+sin(60j)) is 15sin(60j)+20i+15cos(60i)

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expand 20i+15(cos(60i)+sin(60j))

expand

20 i + 15 (cos (60 i) + sin (60 j))

15 sin (60 j) + 20 i + 15 cos (60 i)

Solution steps

20 i + 15 (cos (60 i) + sin (60 j))

Apply the distributive law:

a (b + c) = ab + a c

15 (cos (60 i) + sin (60 j)) = 15 cos (60 i) + 15 sin (60 j)

= 20 i + 15 cos (60 i) + 15 sin (60 j)

Rewrite in standard complex form:

15 sin (60 j) + 20 i + 15 cos (60 i)

= 15 sin (60 j) + 20 i + 15 cos (60 i)

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What is expand 20i+15(cos(60i)+sin(60j)) ?
The solution to expand 20i+15(cos(60i)+sin(60j)) is 15sin(60j)+20i+15cos(60i)