Solved Problems

Problem 1: In a right triangle with legs 3 and 4, find the six trigonometric functions of angle $\theta$ opposite the side of length 3.

Problem 2: Find the exact value of $\sec(240^\circ)$.

Problem 3: Determine the amplitude, period, and phase shift of $y = 3\sin(2x - \pi)$.

Problem 4: The terminal side of angle $\theta$ passes through the point $(-5, 12)$. Find $\sin \theta$, $\cos \theta$, and $\tan \theta$.