Exploring Trigonometric Ratios in Special Right Triangles

The video tutorial covers the identification of parts of right triangles, including the hypotenuse, opposite, and adjacent sides. It explains trigonometric ratios such as sine, cosine, and tangent, and how they relate to specific angles. The tutorial also delves into the properties and calculations of special right triangles, namely 45-45-90 and 30-60-90 triangles, providing examples and rationalizations for trigonometric values.

What is the hypotenuse in a right triangle?

• The side opposite the right angle

• The side opposite the smallest angle

• The shortest side of the triangle

• The side adjacent to the right angle

What does the trigonometric ratio sine represent?

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

• Opposite over hypotenuse

Which side is adjacent to angle A in triangle ABC?

• BC

• AC

• None of the above

• AB

In a 45-45-90 triangle, if one leg is 1, what is the length of the hypotenuse?

• Square root of 2

• 2

• 1

• 1.5

In a 30-60-90 triangle, what is the ratio of the length of the side opposite the 30-degree angle to the hypotenuse?

• Square root of 3:2

• 1:Square root of 3

• 2:1

• 1:2

What is the cosine of 45 degrees?

• Undefined

• Square root of 2 over 2

• 0

• 1

What is the tangent of 30 degrees?

• 1 over square root of 3

• Square root of 3

• 1

• Square root of 3 over 3

What is the sine of 90 degrees?

• 1

• 0

• Square root of 2 over 2

• Undefined

What is the cosine of 60 degrees?

• 1 over 2

• Square root of 3 over 2

• 1

• 0

What is the tangent of a 45-degree angle?

• Square root of 2 over 2

• Undefined

• 0

• 1