Question

Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find all values of t between 0° and 360° satisfying the following statement. (Enter your answers as a comma-separated list.)

sin t = −cos t

Answer 1

The equations are \(x(t) = \cos t\) and \(y(t) = \sin t\).
As for the solutions to the equation:
\[\sin t = -\cos t \\
\frac{\sin t}{\cos t} = -1 \\
\tan t = -1 \\
t = \frac{3\pi}{4}, \frac{7\pi}{4} \]