Trigonometric Functions and Ratios

The video tutorial covers solving trigonometric problems using tangent, sine, and cosine functions. It explains how to identify reference angles and categorize sides as opposite, adjacent, or hypotenuse. The instructor demonstrates setting up equations and converting fractions to decimals to find angle X. The tutorial emphasizes accuracy in decimal conversion and using trigonometric tables for approximation.

What is the reference angle in a trigonometric problem?

• The angle opposite the hypotenuse

• The angle being solved for

• The angle formed by the hypotenuse and adjacent side

• The angle adjacent to the opposite side

Which trigonometric function uses opposite and adjacent sides?

• Tangent

• Cosine

• Secant

• Sine

How do you set up a tangent equation?

• tan(angle) = opposite/hypotenuse

• tan(angle) = opposite/adjacent

• tan(angle) = adjacent/hypotenuse

• tan(angle) = hypotenuse/adjacent

What is the decimal equivalent of 29/14?

• 1.4072

• 2.1407

• 1.0724

• 2.0714

Which angle correlates with a tangent value of approximately 2.0714?

• 70 degrees

• 60 degrees

• 74 degrees

• 64 degrees

What sides are used in the sine function?

• Opposite and adjacent

• Adjacent and hypotenuse

• Opposite and hypotenuse

• Hypotenuse and opposite

How do you set up a sine equation?

• sin(angle) = hypotenuse/adjacent

• sin(angle) = opposite/adjacent

• sin(angle) = adjacent/hypotenuse

• sin(angle) = opposite/hypotenuse

What is the decimal equivalent of 12/54?

• 0.4444

• 0.2222

• 0.5555

• 0.3333

Which angle correlates with a sine value of approximately 0.2222?

• 10 degrees

• 13 degrees

• 15 degrees

• 18 degrees

What sides are used in the cosine function?

• Opposite and adjacent

• Adjacent and hypotenuse

• Opposite and hypotenuse

• Hypotenuse and opposite