Inverse Trigonometric Functions and Calculators

Mr. Muscarella guides students through using a TI-83/84 calculator to approximate values for inverse trigonometric functions. The video covers setting up the calculator, performing calculations for arc sine and cosine, understanding domain restrictions, and handling errors. Students learn to round answers to three decimal places and ensure the calculator is in the correct mode.

What is the main topic discussed in the video?

• Solving algebraic equations

• Calculating derivatives

• Inverse trigonometric functions

• Graphing linear functions

Which calculator model is recommended for the exercises?

• HP 50g

• TI-89

• Casio FX-991

• TI-83/84

What mode should the calculator be set to for these exercises?

• Decimal

• Degree

• Radian

• Gradian

To how many decimal places should answers be rounded?

• Two

• Three

• Four

• Five

What function is used to find the inverse of sine?

• Arcsec

• Arccos

• Arctan

• Arcsin

What is the result of arcsin(2π/9) rounded to three decimal places?

• 0.876

• 0.654

• 0.698

• 0.789

Why does arcsin(7π/9) not equal 7π/9?

• 7π/9 is a complex number

• 7π/9 is not in the range of arcsin

• 7π/9 is less than zero

• 7π/9 is greater than π

What is the reference angle for 7π/9?

• π/9

• 2π/9

• 4π/9

• 3π/9

What is the domain restriction for the arcsin function?

• -π/2 to π/2

• -π to π

• 0 to 2π

• 0 to π

What is the result of cos(arccos(1/3))?

• 1/3

• 1/2

• 2/3

• 3/4