Trigonometric Ratios and Calculations

This video tutorial explains how to use trigonometry to find the length of an unknown side in a right-angled triangle. It covers two examples: one using the tangent ratio and another using the sine ratio. The tutorial guides viewers through the process of identifying the correct trigonometric ratio, setting up the equation, and solving for the unknown side using a calculator.

What is the primary goal of using trigonometry in right-angled triangles as discussed in the video?

• To find the length of an unknown side

• To determine the type of triangle

• To calculate the perimeter of the triangle

• To find the area of the triangle

In the first example, which angle is given in the triangle?

• 30°

• 53°

• 60°

• 45°

Which trigonometric ratio is used in the first example?

• Tangent

• Cotangent

• Cosine

• Sine

What is the value of the adjacent side in the first example?

• 10

• 12

• 14

• 16

What is the purpose of writing 'Soaker TOA' at the top of the page?

• To determine the type of triangle

• To calculate the area of the triangle

• To identify the correct trigonometric ratio

• To remember the order of operations

What does 'tan θ' represent in trigonometry?

• Hypotenuse over Opposite

• Opposite over Adjacent

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

How do you isolate the unknown side 'X' in the first example?

• Add 12 to both sides

• Subtract 12 from both sides

• Multiply both sides by 12

• Divide both sides by 12

What is the calculated length of the unknown side in the first example?

• 17 cm

• 16 cm

• 15 cm

• 14 cm

In the second example, what is the given angle in the triangle?

• 60°

• 45°

• 53°

• 30°

Which trigonometric ratio is used in the second example?

• Cotangent

• Tangent

• Cosine

• Sine