Geometry
# Fundamental Trigonometric Identities

Which of the following is equal to $4\sin x+4\cos x?$

As $\theta$ ranges over all real values, what is the maximum value of

$(18 \sin \theta + 3 \cos \theta ) ^2 ?$

What are the maximum and minimum values of $-16\sin x+16\sqrt{3}\cos x?$

What is the largest possible value of $15\sin x +8\cos x,$ where $x$ is a real number?