Exploring Trigonometric Ratios with SOH CAH TOA

The video tutorial explains trigonometric ratios, focusing on sine, cosine, and tangent, and their application in right-angle triangles. It introduces the mnemonic SOHCAHTOA to remember the ratios and demonstrates how to solve for unknown sides and angles using example problems. The tutorial emphasizes the importance of correctly labeling triangle sides and using a calculator in degrees mode.

Why is it necessary for a triangle to have a right angle to apply trigonometric ratios?

• Because it's a convention in mathematics.

• Because trigonometric ratios only apply to right angle triangles.

• To ensure the triangle is equilateral.

• To make the calculations easier.

What does the 'O' in SOHCAHTOA stand for?

• Original

• Opposite

• Orbit

• Obtuse

What does the 'H' in SOHCAHTOA represent?

• Height

• Hypotenuse

• Horizontal

• Heptagon

In the context of trigonometry, what does 'adjacent' refer to?

• The longest side of the triangle

• The side next to the given angle, excluding the hypotenuse

• The side opposite to the given angle

• The side opposite to the right angle

How do you find the length of a side opposite to a given angle in a right angle triangle?

• Using the sine ratio

• Using the tangent ratio

• It cannot be determined

• Using the cosine ratio

Which trigonometric ratio is used to find an unknown adjacent side when the angle and hypotenuse are known?

• Sine

• Cotangent

• Cosine

• Tangent

How do you determine which trigonometric ratio to use?

• Random choice

• Always use cosine

• Always use sine

• Based on the sides given and the side or angle you need to find

How can you find an unknown angle in a right angle triangle when you know two sides?

• By using algebraic manipulation

• By using the inverse of a trigonometric ratio

• By using any trigonometric ratio

• By using the Pythagorean theorem

What is the purpose of using the inverse of a trigonometric ratio?

• To find the hypotenuse of the triangle

• To calculate the area of the triangle

• To simplify the equation

• To find an unknown angle in the triangle

What is the first step in solving a real-world problem using trigonometry?

• Identify the right angle

• Choose the correct trigonometric ratio

• Calculate the unknown side

• Draw a diagram of the problem