Find the square roots of 200(cos(π/4)+sin(π/4)) in polar form. Show work. Thank you!?

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Find the square roots of 200(cos(π/4)+sin(π/4)) in polar form. Show work. Thank you!?

Science & Mathematics by Anonymous 2018-05-18 11:06:15

Social Science

Find the square roots of 200(cos(π/4)+sin(π/4)) in polar form. Show work. Thank you!?

1 answer

Anonymous

Mistake: do you mean sqr{200[cos(pi/4)+isin(pi/4)]}? if so, then Let x=sqr{200[cos(pi/4)+isin(pi/4)]}, then x=sqr{200e^[(pi/4)i]} => x=10sqr(2)e^[(pi/8)]i] => x=10sqr(2)[cos(pi/8)+isin(pi/8)] The principal value.