a. Copy and romplete the pollowing table of values for \[ \begin{array}{ccccccc} \text { a. Copy and romplete } \\ y=\sin \theta+\cos \theta & 60^{\circ} & 90^{\circ} & 120^{\circ} & 150^{\circ} & 180^{\circ} \\ \theta & 0^{\circ} & 30^{\circ} & & 3 & & -1.0 \end{array} \]

Let's fill in the table for the equation \( y = \sin \theta + \cos \theta \) using the values of \( \theta \) provided. We'll calculate \( y \) for each angle. For \( \theta = 0^{\circ} \): \[ y = \sin(0^{\circ}) + \cos(0^{\circ}) = 0 + 1 = 1 \] For \( \theta = 30^{\circ} \): \[ y = \sin(30^{\circ}) + \cos(30^{\circ}) = \frac{1}{2} + \frac{\sqrt{3}}{2} \approx 1.366 \] For \( \theta = 60^{\circ} \): \[ y = \sin(60^{\circ}) + \cos(60^{\circ}) = \frac{\sqrt{3}}{2} + \frac{1}{2} \approx 1.366 \] For \( \theta = 90^{\circ} \): \[ y = \sin(90^{\circ}) + \cos(90^{\circ}) = 1 + 0 = 1 \] For \( \theta = 120^{\circ} \): \[ y = \sin(120^{\circ}) + \cos(120^{\circ}) = \frac{\sqrt{3}}{2} - \frac{1}{2} \approx 0.366 \] For \( \theta = 150^{\circ} \): \[ y = \sin(150^{\circ}) + \cos(150^{\circ}) = \frac{1}{2} - \frac{\sqrt{3}}{2} \approx -0.366 \] For \( \theta = 180^{\circ} \): \[ y = \sin(180^{\circ}) + \cos(180^{\circ}) = 0 - 1 = -1 \] Now we can complete the table: \[ \begin{array}{ccccccc} \text { a. Copy and complete } \\ y=\sin \theta+\cos \theta & 60^{\circ} & 90^{\circ} & 120^{\circ} & 150^{\circ} & 180^{\circ} \\ \theta & 0^{\circ} & 30^{\circ} & 1.366 & 1 & 0.366 & -0.366 & -1.0 \end{array} \]