Exploring Right Triangle Trigonometry Concepts

The video tutorial covers right triangle trigonometry, focusing on special triangles like 30-60-90 and 45-45-90. It explains trigonometric ratios such as sine, cosine, and tangent, and how they relate to triangle sides. The tutorial also introduces the SOHCAHTOA mnemonic for memorizing these ratios and demonstrates how calculators can assist in solving trigonometric problems. Practice problems are provided to reinforce understanding.

What is the sum of the interior angles of any triangle?

• 360 degrees

• 270 degrees

• 90 degrees

• 180 degrees

In a 45-45-90 triangle, if one leg is 7, what is the length of the hypotenuse?

• 49

• 7√3

• 14

• 7√2

What is the cosine of 60 degrees in a 30-60-90 triangle?

• 1/2

• √2/2

• √3/2

• 2

What is the sine of 30 degrees in a 30-60-90 triangle?

• √2/2

• √3/2

• 2

• 1/2

In a 45-45-90 triangle, what is the tangent of 45 degrees?

• √3

• √2

• 0

• 1

What does 'SOH' in SOHCAHTOA stand for?

• Sine = Opposite/Hypotenuse

• Sine = Opposite/Adjacent

• Sine = Adjacent/Hypotenuse

• Sine = Hypotenuse/Opposite

What does 'CAH' in SOHCAHTOA represent?

• Cosine = Hypotenuse/Adjacent

• Cosine = Adjacent/Opposite

• Cosine = Opposite/Hypotenuse

• Cosine = Adjacent/Hypotenuse

How do you find the tangent of an angle in a right triangle?

• Opposite/Adjacent

• Adjacent/Hypotenuse

• Adjacent/Opposite

• Opposite/Hypotenuse

If the hypotenuse in a right triangle is 11 and one angle is 52 degrees, how can you find the other sides?

• Cannot be determined

• Using the Pythagorean theorem alone

• By estimating

• Using trigonometric ratios and a calculator

What is the sine of a 38-degree angle in a right triangle with opposite side 25 and hypotenuse labeled X?

• X/25

• 38/X

• 25/38

• 25/X