Trigonometric Ratios and Right Triangles

This video tutorial explains how to use trigonometric ratios to solve for angles and sides in right triangles. It covers the three main trig ratios: sine, cosine, and tangent, and how they relate to a given angle. The tutorial demonstrates solving for unknown sides and angles using these ratios, emphasizing the importance of identifying opposite, adjacent, and hypotenuse sides. It includes example problems and encourages students to practice using calculators, ensuring they are in degree mode for accurate results.

What are the three main trigonometric ratios used in right triangles?

• Sine, Cosine, Tangent

• Cosine, Tangent, Cotangent

• Sine, Secant, Cosecant

• Sine, Cosine, Cotangent

In a right triangle, which side is always opposite the right angle?

• Hypotenuse

• Adjacent

• Opposite

• Base

What should you ensure about your calculator when solving trigonometric problems?

• It is in basic mode

• It is in scientific mode

• It is in degree mode

• It is in radian mode

How do you determine the opposite side relative to a given angle?

• It is the side across from the angle

• It is the side with the right angle

• It is the side next to the angle

• It is the longest side

What is the first step in solving for a side using trigonometric ratios?

• Identify the given sides

• Find the angle

• Use inverse cosine

• Cross multiply

What is the hypotenuse in a right triangle?

• The longest side

• The shortest side

• The side opposite the given angle

• The side adjacent to the given angle

What is the adjacent side in a right triangle?

• The longest side

• The side opposite the given angle

• The side opposite the right angle

• The side next to the given angle

Which trigonometric ratio is used when you have the adjacent and hypotenuse sides?

• Secant

• Tangent

• Cosine

• Sine

How do you find an angle using the cosine ratio?

• Use inverse sine

• Divide by tangent

• Use inverse cosine

• Multiply by sine

What is the cosine of an angle equal to in terms of triangle sides?

• Opposite over Adjacent

• Adjacent over Hypotenuse

• Hypotenuse over Adjacent

• Opposite over Hypotenuse