Understanding Sine and Cosine Ratios

The video tutorial explains how to set up and calculate the sine and cosine ratios for acute angles in a triangle. It covers identifying the opposite, adjacent, and hypotenuse sides relative to a given angle. The tutorial provides examples of calculating the sine and cosine ratios using specific side lengths and the Pythagorean theorem. It also discusses how the identification of sides changes when viewed from a different angle in the triangle.

What is the sine of an angle defined as?

• Adjacent over opposite

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Hypotenuse over opposite

Which side of a triangle is always opposite the right angle?

• Base

• Opposite

• Hypotenuse

• Adjacent

If the opposite side is 6 and the hypotenuse is 10, what is the sine of the angle?

• 0.7

• 0.5

• 0.8

• 0.6

What theorem is used to find the missing side of a triangle?

• Pythagorean theorem

• Triangle inequality

• Sine rule

• Cosine rule

If the adjacent side is 8 and the hypotenuse is 10, what is the cosine of the angle?

• 0.6

• 0.5

• 0.8

• 0.7

What is the cosine of an angle defined as?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Adjacent over opposite

• Hypotenuse over adjacent

How does the reference angle affect the identification of opposite and adjacent sides?

• It does not affect them

• It changes the hypotenuse

• It flips the opposite and adjacent sides

• It changes the angle measurement

From angle B, which side is considered opposite?

• The side next to angle B

• The hypotenuse

• The side opposite the right angle

• The side opposite angle B

What remains constant regardless of the reference angle?

• Adjacent side

• Opposite side

• Hypotenuse

• Angle measurement

What happens to the opposite and adjacent sides when the reference angle changes?

• They switch places

• They remain the same

• They disappear

• They become equal