Step 1: Complete the table for y=3cosx.
We calculate the missing values for y=3cosx at the given x values, rounding to two decimal places.
- For x=15∘: y=3cos(15∘)≈3×0.9659=2.8977≈2.90
- For x=45∘: y=3cos(45∘)≈3×0.7071=2.1213≈2.12
- For x=120∘: y=3cos(120∘)=3×(−0.5)=−1.50
Step 2: Complete the table for y=4sin(2x−10).
We calculate the missing values for y=4sin(2x−10) at the given x values, rounding to two decimal places.
- For x=30∘: y=4sin(2(30∘)−10∘)=4sin(50∘)≈4×0.7660=3.0641≈3.06
- For x=75∘: y=4sin(2(75∘)−10∘)=4sin(140∘)≈4×0.6428=2.5711≈2.57
- For x=90∘: y=4sin(2(90∘)−10∘)=4sin(170∘)≈4×0.1736=0.6946≈0.69
- For x=105∘: y=4sin(2(105∘)−10∘)=4sin(200∘)≈4×(−0.3420)=−1.3681≈−1.37
a) The