Complete the tables for y = 3cos x and y = 4sin(2x−10) at the given x values.

We calculate the missing values for $y = 3\cos x$ at the given $x$ values, rounding to two decimal places.

• For $x = 15^\circ$: $y = 3\cos(15^\circ) \approx 3 \times 0.9659 = 2.8977 \approx 2.90$
• For $x = 45^\circ$: $y = 3\cos(45^\circ) \approx 3 \times 0.7071 = 2.1213 \approx 2.12$
• For $x = 120^\circ$: $y = 3\cos(120^\circ) = 3 \times (-0.5) = -1.50$

We calculate the missing values for $y = 4\sin(2x-10)$ at the given $x$ values, rounding to two decimal places.

• For $x = 30^\circ$: $y = 4\sin(2(30^\circ)-10^\circ) = 4\sin(50^\circ) \approx 4 \times 0.7660 = 3.0641 \approx 3.06$
• For $x = 75^\circ$: $y = 4\sin(2(75^\circ)-10^\circ) = 4\sin(140^\circ) \approx 4 \times 0.6428 = 2.5711 \approx 2.57$
• For $x = 90^\circ$: $y = 4\sin(2(90^\circ)-10^\circ) = 4\sin(170^\circ) \approx 4 \times 0.1736 = 0.6946 \approx 0.69$
• For $x = 105^\circ$: $y = 4\sin(2(105^\circ)-10^\circ) = 4\sin(200^\circ) \approx 4 \times (-0.3420) = -1.3681 \approx -1.37$

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