Question

Prompt
Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y.

Answer 1

Answer:

Let's start first with sin(x+y) :

• sin(x+y)
• sin(x)*cos(y)+cos(x)*sin(y)

Now with sin(x)+sin(y) :

• sin(x)+sin(y)
• 2*sin[(x+y)/2] * cos[(x-y)/2]

We can see that both expressions are far away from being equal

Answer 2

Hi! :D

Not gonna lie, I just copied and pasted in the above answer, and the glossary definitions. Got 100%!

Hope this helps! :)

(P.S. You can find the glossary definitions on the side of the screen using the plus button. If you're ever unsure about your answer, copy them in there!)