Answered

Discover a wealth of information and get your questions answered on IDNLearn.com. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

What is the product of 16(cos(47)+isin(47)) and 4(cos(12)+isin(12))?

Sagot :

LammettHashidn

Write both complex numbers in polar form: (exp(x) is the same as e ˣ)

z = 16 (cos(47°) + i sin(47°)) = 16 exp(i 47°)

w = 4 (cos(12°) + i sin(12°)) = 4 exp(i 12°)

→   zw = 64 exp(i (47° + 12°)) = 64 exp(i 59°)

→   zw = 64 (cos(59°) + i sin(59°))

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.