Question

what is the product of $2(cos(45^{circ}) + isin(45^{circ}))$ and $5(cos(30^{circ}) + isin(30^{circ}))$? the product is $\boldsymbol{square}(cos(\boldsymbol{square}^{circ}) + isin(\boldsymbol{square}^{circ}))$.

Explanation:

Step1: Multiply the moduli

$2 \times 5 = 10$

Step2: Add the angles

$45^\circ + 30^\circ = 75^\circ$

Answer:

$10(\cos(75^\circ) + i\sin(75^\circ))$

Filled in the blanks:
10, 75, 75