Question

Reduce sin 4 x cos 3 x + cos 4 x sin 3 x to a single term.

Answer 1

Do you know the formulas for sin(x + y) etc.?

Answer 2

I do but not by heart. Can you give it to me?

Answer 3

Sure. Let me switch letters to reduce confusion
sin (s+t) = sin s cos t + sin t cos s

Answer 4

Does that give you any ideas?

Answer 5

Yes, somewhat

Answer 6

What kind of ideas?

Answer 7

sin7 x?

Answer 8

That's a heck of an idea. Sounds good to me.

Answer 9

My other options include:
a. cos x
b. cos 7 x
c. sin 7 x
d. sin x

Answer 10

Oh OK! Great! Thanks so much for your help!

Answer 11

yw