Worksheet: Upper and Lower Bounds: Trigonometric Calculations

In this worksheet, we will practice performing trigonometric calculations involving upper and lower bounds, and we will understand the importance of accuracy in calculations.

Q1:

The measurements on the figure are given to two decimal places. Find the upper and lower bounds for the value of 𝜃 to 3 decimal places.

  • AUpperbound=47.325, lowerbound=47.217
  • BUpperbound=41.235, lowerbound=41.126
  • CUpperbound=41.126, lowerbound=41.235
  • DUpperbound=43.396, lowerbound=43.259
  • EUpperbound=43.259, lowerbound=43.396

Q2:

The measurements on the figure are given to two decimal places. Find the upper and lower bounds for the value of angle 𝐴 to 3 decimal places.

  • AUpperbound=42.112, lowerbound=42.145
  • BUpperbound=53.003, lowerbound=53.081
  • CUpperbound=53.081, lowerbound=53.004
  • DUpperbound=42.145, lowerbound=42.112
  • EUpperbound=55.256, lowerbound=55.221

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