Exploring Inverse Trig Ratios with Soh-Cah-Toa

The video tutorial explains how to use inverse trigonometric ratios to solve for angles in right triangles. It covers the use of tangent and cosine inverses with examples, demonstrating how to identify opposite, adjacent, and hypotenuse sides. The tutorial also provides a practice problem for viewers to try on their own.

What trigonometric ratio is used when dealing with opposite and adjacent sides?

• Cotangent

• Tangent

• Sine

• Cosine

What does the 'CAH' in SOHCAHTOA stand for?

• Cotangent equals Adjacent over Opposite

• Cosine equals Adjacent over Hypotenuse

• Cotangent equals Adjacent over Hypotenuse

• Cosine equals Adjacent over Opposite

How do you solve for an angle when you know the opposite and adjacent sides?

• Use the direct trigonometric ratio

• Multiply the sides

• Use the inverse trigonometric ratio

• Divide the hypotenuse by the adjacent side

What is the result of performing the inverse tangent of 9 over 8?

• Approximately 48.37 degrees

• Approximately 50 degrees

• Approximately 42 degrees

• Approximately 45 degrees

What does the inverse trigonometric function do?

• It multiplies the given sides

• It finds the ratio of the sides

• It calculates the hypotenuse

• It solves for the angle given the sides

What is the purpose of the 'second' button when using trigonometric functions on a calculator?

• To reset the calculator

• To multiply the result by two

• To perform the direct trigonometric function

• To access the inverse trigonometric functions

Which trigonometric function is used when given the adjacent and hypotenuse sides?

• Secant

• Tangent

• Cosine

• Sine

What is the result of performing the inverse cosine of 5 over 21?

• Approximately 73 degrees

• Approximately 80 degrees

• Approximately 76.23 degrees

• Approximately 70 degrees

What error occurs if you incorrectly assign the hypotenuse and adjacent sides?

• Syntax error

• Calculation error

• No error, but an incorrect result

• Mathematical error

What should the hypotenuse always be in a right triangle?

• Equal to the square root of the sum of the squares of the other two sides

• Equal to the sum of the other two sides

• The longest side

• The shortest side