Trigonometric Ratios and Right Triangles

The video tutorial covers essential math concepts, including the Pythagorean Theorem, trigonometric ratios, and special right triangles. It emphasizes the importance of staying on track with math lessons and provides examples and practice problems to reinforce learning. The tutorial also guides using calculators for trigonometric calculations and explains the properties of special right triangles.

What is the Pythagorean Theorem used for?

• Calculating the perimeter of a triangle

• Finding the area of a triangle

• Finding the length of sides in a right triangle

• Determining the type of triangle

Which of the following is a Pythagorean triple?

• 3, 4, 5

• 7, 24, 26

• 5, 12, 14

• 6, 8, 11

What does the sine ratio compare in a right triangle?

• Opposite side to adjacent side

• Opposite side to hypotenuse

• Hypotenuse to adjacent side

• Adjacent side to hypotenuse

What is the mnemonic SOHCAHTOA used for?

• Remembering the order of operations

• Identifying types of triangles

• Remembering trigonometric ratios

• Calculating angles in a triangle

If a right triangle has legs of 7 and 24, what is the length of the hypotenuse?

• 25

• 26

• 24

• 7

In a right triangle, if the opposite side is 8 and the hypotenuse is 10, what is the sine of the angle opposite the 8?

• 0.8

• 0.6

• 0.5

• 0.75

How do you clear fractions when solving for a variable in a trigonometric equation?

• Add the denominator to both sides

• Divide both sides by the numerator

• Subtract the denominator from both sides

• Multiply both sides by the denominator

What is the cosine of an angle if the adjacent side is 12 and the hypotenuse is 13?

• 0.923

• 0.769

• 0.615

• 0.846

In a 30-60-90 triangle, what is the length of the side opposite the 30-degree angle if the hypotenuse is 10?

• 5

• 10

• 5√3

• 10√3

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

• 7√3

• 7

• 7√2

• 14