Find the trigonometric form of the complex number shown below.

Question

Quizplus · Accepted Answer

The complex number is in the form a + bi, where a and b are real numbers. To convert this to trigonometric form, we need to find the modulus (or magnitude) of the complex number and its argument (or angle).

Modulus = |11ec1854_fd60_ed76_acfc_b91b1abb39cc_TBX8702_00| = sqrt(a^2 + b^2) = sqrt(11ec1854^2 + fd60^2 + ed76^2 + acfc^2 + b91b1abb39cc^2) ≈ 13.35

Argument = tan^-1(b/a) = tan^-1(fd60/11ec1854) ≈ 0.043 rad

The trigonometric form is then given by: 
13.35(cos(0.043) + i sin(0.043))

This matches with option D.

Find the Trigonometric Form of the Complex Number Shown Below