What is the trigonometric form of (-5+11i) ?

1 Answer
Jan 9, 2016

sqrt(146)(cos(tan^-1(-11/5))+isin(tan^-1(-11/5)))

Explanation:

Trigonometric form of a complex number x+iy is given by

r(cos(theta)+isin(theta)
Where,
r=sqrt(x^2+y^2)
theta = tan^-1(y/x)

Our complex number is -5+11i

r=sqrt((-5)^2+11^2)
r=sqrt(25+121)
r=sqrt(146)

theta = tan^-1(-11/5)

The complex number in trigonometric form is

sqrt(146)(cos(tan^-1(-11/5))+isin(tan^-1(-11/5)))