Geometry
# Sum and Difference Trigonometric Formulas

$N$ is an integer in the range $[0, 180]$ such that

$2 \cos 43 ^\circ \cos 26 ^\circ = \cos 69 ^ \circ + \cos N ^ \circ.$

What is the value of $N$?

Which of the following is equal to $\cos 6 \theta \cos 2 \theta?$