Section 5.2: Trigonometric Functions of Real Numbers

1. Relate the trigonmetric functions sine (\(\sin\)), cosine (\(\cos\)), tangent (\(\tan\)), secant (\(\sec\)), cosecant (\(\csc\)), and cotangent (\(\cot\)) to the terminal point associated with a real number \(t\).
2. Evaluate the trigonmetric functions above at \(t = k \cdot \frac{\pi}{6}\), \(t = k \cdot \frac{\pi}{4}\), \(t = k \cdot \frac{\pi}{3}\), and \(t = k \cdot \frac{\pi}{2}\) where \(k\) is a given integer.
3. Given a terminal point determined by a real number \(t\), determine the values of the trigonometric functions above evaluated at \(t\).
4. State the signs of sine, cosine, and tangent in each of the 4 quadrants of the coordinate plane.
5. Use the procedure in the grey box on page 412 of Stewart, Redlin, and Watson to evaluate the trigonometric functions at any real number.
6. State the Fundamental Identities given in the blue box of page 415 of Stewart, Redlin, and Watson.