Question 1170645

write the following complex numbers in polar form: {{{-5+12i}}}

{{{-5+12i=r(cos(theta)+i*sin(theta))}}}


{{{r=sqrt(a^2+b^2)}}}.............{{{a=-5}}},{{{b=12}}}

{{{r=sqrt((-5)^2+12^2)}}}

{{{r=sqrt(25+144)}}}

{{{r=sqrt(169)}}}

{{{r=13}}}


{{{theta=tan^-1(b/a)+180}}}°

{{{theta=tan^-1(12/-5)+180}}}°

{{{theta=-67.38+180}}}°

{{{theta=112.6}}}° 

then we have:

{{{-5+12i=13(cos(112.6)+i*sin(112.6))}}}