What is (x+iy)cos(x+iy) ?

The solution to (x+iy)cos(x+iy) is xcos(x+iy)+ycos(x+iy)i

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simplify (x+iy)cos(x+iy)

simplify

(x + i y) cos (x + i y)

x cos (x + i y) + y cos (x + i y) i

Solution steps

(x + i y) cos (x + i y)

= cos (x + i y) (x + i y)

Apply the distributive law:

a (b + c) = ab + a c

cos (x + i y) (x + i y) = cos (x + i y) x + cos (x + i y) i y

= cos (x + i y) x + cos (x + i y) i y

= x cos (x + i y) + y cos (x + i y) i

7 (3 x + 2 y = - 7)

3 (sin (2 x) cos (x) - sin^{3} (x))

3 (2 x - 1) d x

\frac{( 15 x + 8 y ) ^{2}}{400}

\frac{s ^{2} + 9 s + 8}{( s + 2 ) ( s ^{2} + 2 )}

What is (x+iy)cos(x+iy) ?
The solution to (x+iy)cos(x+iy) is xcos(x+iy)+ycos(x+iy)i