Trigonometry question help?

Question

Perform the following multiplication and write the product in trigonometric form. Write the magnitude in exact form. Write the argument in radians and round it to two decimal places if necessary.

 

Perform the following multiplication and write the product in trigonometric form. Write the magnitude in exact form. Write the argument in radians and round it to two decimal places if necessary.

 

(−5+2i)(√2+i)

Answer 1

z₁ = -5 + 2i

r₁ = √29

θ₁ = -0.38^r

z₂ = √2 + i

r₂ = √3

θ₂ = 0.52

z₁z₂ = r₁r₂(cos (θ₁ + θ₂) + i sin (θ₁ + θ₂))