8-2 Trigonometric Ratios - GEOMETRY

The video tutorial covers the basics of right triangles, focusing on the hypotenuse and the trigonometric ratios: sine, cosine, and tangent. It explains how to use these ratios with a calculator, emphasizing the importance of setting the calculator to degree mode. The mnemonic SOHCAHTOA is introduced to help remember the trigonometric ratios. The tutorial includes example problems to demonstrate how to apply these concepts in solving for unknown sides and angles in right triangles.

What is the definition of sine in a right triangle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Opposite over adjacent

• Hypotenuse over adjacent

Why is it important to set your calculator to degree mode when solving trigonometric problems?

• To ensure the calculator uses radians

• To avoid incorrect answers

• To use the calculator's memory function

• To make calculations faster

What does the mnemonic SOHCAHTOA help you remember?

• The order of operations

• The properties of a circle

• The types of angles in a triangle

• The trigonometric ratios

In a right triangle with sides 12, 13, and 5, what is the cosine of angle A?

• 12/13

• 5/13

• 12/5

• 13/12

If you have a right triangle with an angle of 41 degrees and an opposite side of 6.1, which trigonometric function would you use to find the adjacent side?

• Cosecant

• Tangent

• Cosine

• Sine

What is the first step in solving a trigonometric equation if the variable is in the denominator?

• Subtract the variable from both sides

• Multiply both sides by the variable

• Switch the variable with the numerator

• Add the variable to both sides

When using a calculator for trigonometric functions, what should you do after entering the angle?

• Close the parenthesis

• Add the side length

• Multiply by the side length

• Divide by the side length