Exploring Trigonometric Ratios: Part 1

The video tutorial covers trigonometric ratios, including sine, cosine, and tangent, and their application in solving right triangle problems. It begins with definitions and basic concepts, followed by detailed examples of calculating these ratios for different angles. The tutorial also includes practical examples and exercises to simplify and solve for unknowns using trigonometric ratios. Finally, it applies these concepts to real-world scenarios, concluding with an assignment for further practice.

What is the primary focus of trigonometry?

• The study of algebraic expressions

• The study of circle measurements

• The study of triangle measurements

• The study of square measurements

What does the trigonometric ratio involve?

• The ratio of the lengths of two angles of a right triangle

• The ratio of the lengths of two sides of a right triangle

• The ratio of the lengths of three sides of a right triangle

• The ratio of the area of two triangles

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

• Adjacent over Hypotenuse

• Hypotenuse over Opposite

• Opposite over Hypotenuse

• Opposite over Adjacent

What is the mnemonic used to remember the trigonometric ratios?

• HOCASOTH

• AHSOTCOH

• COHSATOH

• SOHCAHTOA

What is the purpose of using the SOHCAHTOA mnemonic?

• To understand the Pythagorean theorem

• To calculate the area of triangles

• To remember the trigonometric ratios

• To solve algebraic equations

How do you simplify the fraction 12/15 using trigonometric ratios?

• 4/5

• 3/4

• 5/6

• 2/3

What is the cosine of angle H in simplified form?

• 4/5

• 9/15

• 5/3

• 3/5

How is the tangent of an angle calculated in a right triangle?

• Hypotenuse over Opposite

• Adjacent over Opposite

• Opposite over Adjacent

• Hypotenuse over Adjacent

What trigonometric function is used to find the height of an object?

• Cotangent

• Tangent

• Cosine

• Sine

How do you convert 1.74 miles to feet if 1 mile equals 5280 feet?

• 9184 feet

• 9284 feet

• 924 feet

• 9170 feet