Special Right Triangles and Trigonometry Concepts

This video tutorial covers Unit 13, Day 2 of a trigonometry lesson. It begins with a warm-up exercise, followed by a detailed explanation of radians and degrees, emphasizing their interchangeability. The lesson then explores special right triangles, including the 45-45-90 and 30-60-90 triangles, using the Pythagorean theorem to find missing sides. The final section introduces right triangle trigonometry, focusing on the SOHCAHTOA method to solve problems involving sine, cosine, and tangent ratios.

What is the equivalent degree measure of π/3?

• 30 degrees

• 90 degrees

• 45 degrees

• 60 degrees

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

• 1

• √2

• 2

• √3

In a 30-60-90 triangle, if the shorter leg is 2, what is the length of the hypotenuse?

• 4

• 4√3

• 2

• 2√3

What is the length of the hypotenuse in a 45-45-90 triangle if each leg is 5?

• 10

• 5√2

• 5

• 10√2

In a 30-60-90 triangle, if the hypotenuse is 10, what is the length of the longer leg?

• 10√3

• 5√3

• 5

• 10

Which trigonometric function represents the ratio of the opposite side to the hypotenuse?

• Tangent

• Cosine

• Sine

• Secant

What is the cosine of an angle in a right triangle if the adjacent side is 3 and the hypotenuse is 5?

• 4/5

• 3/4

• 3/5

• 5/3

If the opposite side is 4 and the adjacent side is 3, what is the tangent of the angle?

• 3/4

• 4/3

• 5/4

• 4/5

In a right triangle, if the hypotenuse is 8 and one leg is 4, what is the length of the other leg?

• 4√3

• 4√2

• 2√2

• 2√3

What is the sine of an angle in a right triangle if the opposite side is 3 and the hypotenuse is 5?

• 3/5

• 4/5

• 5/3

• 3/4