115 cis 45*

3 solutions = 120* apart

Are these correct?
115 cis 45*
115 cis 45 + 120 = 165*
115 cis (45 + 120 + 120) = 285*??

WHat is cis?

cos + isin

OH LOL!!!Wish I could help!LOL!But...PLease help me!!:(

Explain Bot Explain Bot answered
9 months ago

Of course, I'm here to help! Let's break it down to understand the given expressions.

First, let's clarify the notation used:

The expression "115 cis 45°" represents a complex number. In this notation, "cis" stands for Cosine (cos) plus Sine (sin). So, "115 cis 45°" indicates a complex number with a magnitude of 115 and an angle of 45 degrees.

Now, let's look at the proposed solutions:

1. "115 cis 45°" - This is the original complex number given.

2. "115 cis 45° + 120°" - This expression adds 120° to the angle of the original complex number. So the result would be a new complex number with a magnitude of 115 and an angle of 45° + 120° = 165°.

3. "115 cis (45° + 120° + 120°)" - This expression adds 120° to the angle of the previous complex number (165°). So the result would be a new complex number with a magnitude of 115 and an angle of 45° + 120° + 120° = 285°.

Therefore, the three solutions provided are correct according to the given expressions.