Exploring Trigonometric Ratios in Right Triangles

This video tutorial explains how to use trigonometric ratios to solve right triangles. It covers the relationships between the sides and angles of right triangles, focusing on sine, cosine, and tangent. The tutorial demonstrates how to find missing sides and angles using these ratios and inverse functions. It also explores real-world applications, such as calculating angles of elevation and depression.

What is the hypotenuse in a right triangle?

• The side opposite the right angle

• The side adjacent to the right angle

• The longest side of the triangle

• The shortest side of the triangle

In the context of trigonometry, what does 'adjacent' refer to?

• The side opposite the angle of interest

• Any side of a triangle that is not being used

• The side next to the angle of interest, excluding the hypotenuse

• The longest side in a right triangle

How is the sine of an angle in a right triangle defined?

• Adjacent over Hypotenuse

• Hypotenuse over Opposite

• Opposite over Adjacent

• Opposite over Hypotenuse

What does the tangent of an angle represent in a right triangle?

• Opposite over Adjacent

• Adjacent over Opposite

• Opposite over Hypotenuse

• Hypotenuse over Opposite

How do you calculate the cosine of an angle in a right triangle?

• Opposite side length divided by hypotenuse length

• Adjacent side length divided by opposite side length

• Hypotenuse length divided by adjacent side length

• Adjacent side length divided by hypotenuse length

What trigonometric ratio is used to find the length of a side opposite to an angle?

• Tangent

• Cosine

• Cotangent

• Sine

Which function is used to find a missing angle in a right triangle?

• Algebraic manipulation

• Trigonometric ratio

• Inverse trigonometric function

• Pythagorean theorem

What is the angle of elevation?

• The angle formed by the horizontal line of sight and the line of sight down to an object

• The angle between the hypotenuse and the adjacent side

• The angle between the hypotenuse and the opposite side

• The angle formed by the horizontal line of sight and the line of sight up to an object

What is the purpose of using inverse trigonometric functions?

• To find the length of sides in a right triangle

• To calculate the hypotenuse of a right triangle

• To simplify trigonometric expressions

• To determine the measure of an angle given two sides

How can trigonometry be applied in real life?

• To calculate the area of circles

• To determine the height of objects using angles of elevation

• To solve algebraic equations

• To find the volume of spheres