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olya-2409 [2.1K]
3 years ago
6

Please explain this answer ☹️

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Note that cos315° = cos45° and sin315° = - sin45° and

cos45° = sin45° = \frac{1}{\sqrt{2} } = \frac{\sqrt{2} }{2}

Hence

12(cos315° + isin315°)

= 12(cos45° - isin45°)

= 12(\frac{\sqrt{2} }{2} - i \frac{\sqrt{2} }{2})

= 6\sqrt{2} - 6i \sqrt{2}

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