Reduce sin 4 x cos 3 x + cos 4 x sin 3 x to a single term.
a. cos x
b. cos 7 x
c. sin 7 x
d. sin x

Question

Reduce sin 4 x cos 3 x + cos 4 x sin 3 x to a single term. 
a. cos x 
b. cos 7 x 
c. sin 7 x 
d. sin x

anonymous · Answer

$$\sin(A)\cos(B) + \cos(A)\sin(B) \implies \color{green}{\sin(A + B)}$$

anonymous · Answer

in color no less!

anonymous · Answer

Ha ha ha..

anonymous · Answer

I thought you are green so I will use green @satellite73

anonymous · Answer

@IloveCharlie there:

$A = 4x$ and $B = 3x$..

Can you now use the formula..??

anonymous · Answer

$$\begin{array}l\color{red}{\normalsize\text{s}}\color{orange}{\normalsize\text{i}}\color{#9c9a2e}{\normalsize\text{n}}\color{green}{\normalsize\text{(}}\color{blue}{\normalsize\text{A}}\color{purple}{\normalsize\text{+}}\color{purple}{\normalsize\text{B}}\color{red}{\normalsize\text{)}}\color{orange}{\normalsize\text{}}\end{array}$$