Trigonometric Functions and Calculator Use

This video tutorial covers the approximation of trigonometric function values for non-quadrantal angles using calculators. It explains how to set calculator modes to degrees or radians and provides step-by-step instructions for using the TI-36X Pro and TI-30X IIS calculators. The tutorial also demonstrates calculating trigonometric values using degrees, minutes, and seconds, and explains how to handle reciprocal trigonometric functions. Finally, it shows how to find angles using inverse trigonometric functions.

Why do we need to use approximations for trigonometric function values?

• To avoid using calculators.

• When the angle is not a standard angle like 30, 45, or 60 degrees.

• When the angle is a quadrantal angle.

• Because exact values are always available.

What is the most important thing to remember when using a calculator for trigonometric functions?

• Ensure the calculator is in scientific mode.

• Use the calculator's default settings.

• Always use radians mode.

• Ensure the calculator is in the correct mode: degrees or radians.

How do you set the TI-36X Pro calculator to degree mode?

• Press the 'DRG' button.

• Press the 'Second' button.

• Press the 'Math' button.

• Press the 'Mode' button and select 'Degrees'.

What is the approximate value of sine 38 degrees using the TI-36X Pro?

• 0.6156

• 0.6161

• 0.6180

• 0.6120

How do you change the mode to degrees on the TI-30X IIS calculator?

• Press the 'Math' button.

• Press the 'DRG' button and scroll to 'Degrees'.

• Press the 'Second' button.

• Press the 'Mode' button and select 'Degrees'.

What is the approximate value of cosine 38.7 degrees using the TI-30X IIS?

• 0.7820

• 0.7800

• 0.7810

• 0.7804

How do you input degrees, minutes, and seconds on the TI-30X IIS?

• Use the 'Mode' button.

• Use the 'Math' button.

• Use the 'DRG' button.

• Use the button with degree, minute, and second marks.

What is the approximate value of tangent 38 degrees 7 minutes 29 seconds using the TI-30X IIS?

• 0.7860

• 0.7830

• 0.7850

• 0.7847

How do you input degrees, minutes, and seconds on the TI-36X Pro?

• Use the 'DRG' button.

• Use the 'Math' button and select 'DMS'.

• Use the 'Mode' button.

• Use the 'Second' button.

What is the approximate value of tangent 38 degrees 7 minutes 29 seconds using the TI-36X Pro?

• 0.7850

• 0.7830

• 0.7847

• 0.7860