Setting Up Trig Ratios in Right Triangles

The video tutorial explains how to solve trigonometry problems by identifying the reference angle and labeling the sides of a triangle as opposite, adjacent, or hypotenuse. It demonstrates how to choose the appropriate trigonometric function (sine, cosine, or tangent) based on the sides involved. The tutorial includes three example problems, each illustrating the setup process using different angles and sides, focusing on the tangent and sine functions.

What is the first step in solving trigonometry problems as described?

• Finding the reference angle

• Choosing the trigonometric function

• Labeling the sides of the triangle

• Finding the hypotenuse

In the context of trigonometry, what does the reference angle help determine?

• The longest side of the triangle

• The perimeter of the triangle

• The area of the triangle

• The trigonometric function to use

Which sides do you use if the hypotenuse is not marked?

• Only the hypotenuse

• Opposite and adjacent

• Hypotenuse and opposite

• Adjacent and hypotenuse

Which trigonometric function uses the opposite over the adjacent side?

• Tangent

• Cosine

• Cotangent

• Sine

How do you set up the equation using the tangent of 52 degrees?

• Tangent(52) = adjacent / opposite

• Tangent(52) = hypotenuse / opposite

• Tangent(52) = adjacent / hypotenuse

• Tangent(52) = opposite / adjacent

What is the setup for the sine function using a 48-degree angle?

• Sin(48) = adjacent / hypotenuse

• Sin(48) = opposite / hypotenuse

• Sin(48) = adjacent / opposite

• Sin(48) = hypotenuse / opposite

Which trigonometric function is used when the opposite and hypotenuse sides are known?

• Secant

• Tangent

• Cosine

• Sine

How is the sine of a 48-degree angle set up in terms of opposite and hypotenuse?

• Sin(48) = adjacent / hypotenuse

• Sin(48) = opposite / adjacent

• Sin(48) = opposite / hypotenuse

• Sin(48) = hypotenuse / opposite

For a 72-degree reference angle, which sides are used to set up the tangent function?

• Hypotenuse and opposite

• Only the hypotenuse

• Opposite and adjacent

• Adjacent and hypotenuse

What is the correct setup for the tangent of 72 degrees?

• Tangent(72) = adjacent / opposite

• Tangent(72) = opposite / adjacent

• Tangent(72) = hypotenuse / opposite

• Tangent(72) = opposite / hypotenuse