Problem 709

Find z*w . Leave your answer in simplified polar form. Express all angles in degrees rounded to the nearest tenth.

z = 9(cos45+I sin45° )

w = 3(cos10+isin10°)

 

Solution:-

 

z.w = 9(cos45 + i sin45)*3(cos10+i sin10)

z.w=9*3(cos(45+10)+isin(45+10))

z.w=27(cos55°+i sin55°)

 

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