Find the standard form of the complex number $$5 \left( \cos \frac { 5 \pi } { 12 } + i \sin \frac { 5 \pi } { 12 } \right)$$ .Round values to the nearest hundredth.
A) $- 1.29 - 4.83 i$
B) $2.5 + 4.33 i$
C) $1.29 + 4.83 i$
D) $1.29 - 4.83 i$
E) $- 2.5 - 4.33 i$

Question

Quizplus · Accepted Answer

The complex number is in polar form. Converting to standard form, we calculate: $5 \cos \frac{5\pi}{12} \approx 1.29$ and $5 \sin \frac{5\pi}{12} \approx 4.83$. Thus, the standard form is $1.29 + 4.83i$.

Find the Standard Form of the Complex Number 5(cos⁡5π12+isin⁡5π12)5 \left( \cos \frac { 5 \pi } { 12 } + i \sin \frac { 5 \pi } { 12 } \right)5(cos125π​+isin125π​)

Find the Standard Form of the Complex Number $5 \left( \cos \frac { 5 \pi } { 12 } + i \sin \frac { 5 \pi } { 12 } \right)$