Evaluating Inverse Trig Functions with a Calculator

Objective

• Evaluate inverse trigonometric functions using a calculator.
• Obtain results in radians.
• Round results to four decimal places.

Steps for Calculation

Initial Setup

• Mode Setting: Ensure the calculator is set to radians mode.
  • Check current mode (e.g., degrees).
  • Hit the "mode" button to switch to radians.

Calculating Inverse Functions

Inverse Sine (sin⁻¹)

• Procedure:
  • Use the "second" function button.
  • Press the "sine" button to access inverse sine.
  • Input: sin⁻¹(0.7)
  • Result: Approximately 0.7754 (rounded to four decimal places).

Inverse Cosine (cos⁻¹)

• Procedure:
  • Use the "second" function button.
  • Press the "cosine" button to access inverse cosine.
  • Input: cos⁻¹(5/7)
  • Result: Approximately 0.7752 (rounded to four decimal places).

Inverse Tangent (tan⁻¹)

• Procedure:
  • Use the "second" function button.
  • Press the "tangent" button to access inverse tangent.
  • Input: tan⁻¹(-5)
  • Result: Approximately -1.3734 (rounded to four decimal places).

Conclusion

• Always ensure your calculator is in the correct mode (radians) for trigonometric calculations.
• Use the "second" function to access inverse trig functions.
• Round results to four decimal places as required.