A 85 Trigonometric Form ox Please Answer Question f Dwwwweba

\"A 8.5 Trigonometric Form ox Please Answer Question f Dwww.webassign.net/web/Student/Assignment-Responses/last?dep=13205642 2 0.5/1 points Previaus Answers 0.5/1 polnts Previous Answers LarAT9 85.026. My N Represent the complex number graphically. Imaginary Imaginary axis 10 axis 10 Real 10 axis 10 axis 8 +3i Imaginary Imaginary axis 10 axis 10 8431 Real 10 axis 10 axis Write the form of the number. (Round your angles to two decimal places. Let 0

Solution

8+3i

in an argand plane complex number (a+bi) is the point (a,b)

so 8+3i would be (8,3)

8 units on x axis right and 3 units on y axis top

therefore,

3rd option is correct

trigonometric function

r = sqrt ( a^2+b^2 ) = sqrt (8^2+3^2) = 8.544

theta = tan^-1 ( 3/8) = 20.55

trigonometric form is

r ( cos theta + i sin theta ) = sqrt 73 ( cos 20.55 + i sin 20.55)