How to determine the three trigonometric ratios for a triangle

The video tutorial focuses on solving a trigonometry problem by identifying the opposite and adjacent sides relative to a given angle. The teacher guides students through understanding the sine and tangent ratios, emphasizing the importance of correctly identifying side lengths. The session includes verifying solutions and ensuring students understand the concepts of adjacent and opposite sides in relation to angles.

What is the first step in identifying the opposite and adjacent sides in a right triangle?

• Calculate the area of the triangle

• Measure all sides

• Identify the angle of interest

• Look at the hypotenuse first

Which side is considered adjacent in a right triangle?

• The side opposite the right angle

• The side connecting the angle of interest to the right angle

• The longest side

• The side with the smallest length

What is the correct formula for the sine of an angle in a right triangle?

• Opposite over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

• Adjacent over hypotenuse

How should you verify your work when calculating trigonometric ratios?

• By comparing with another student's work

• By measuring the angles again

• By ensuring the ratios are consistent with the definitions

• By checking the length of the hypotenuse

What is the tangent of an angle in a right triangle?

• Adjacent over opposite

• Opposite over hypotenuse

• Hypotenuse over adjacent

• Opposite over adjacent