\(\displaystyle \cos(2x) + \csc^2 x = 0\)
\(\displaystyle \sin(6x)\cos(x) = -\cos(6x)\sin(x)\)
\(\displaystyle \sqrt{2}\cos x - \sqrt{2}\sin x = 1\)
Simplify \(\displaystyle 5\sqrt{3}\cos x + 5\sin x\)
Simplify \(\displaystyle 3\cos 7x - 4\sin 7x\)
Find and simplify \(f\)
Suppose \(\displaystyle f(x) = C\cos(3x) - \frac{1}{3}\sin(3x)\) and \(f(0) = 2\)