Exploring Trigonometric Ratios in Right Triangles

What does the trigonometric ratio sine represent?

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over opposite

• Adjacent over hypotenuse

What mnemonic helps remember trigonometric ratios?

• SOHCAHTOA

• ROYGBIV

• PEMDAS

• HOMES

For a 53 degree angle, what is the sine ratio?

• 3/5

• 4/5

• 5/4

• 3/4

How is the cosine ratio defined?

• Opposite over adjacent

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Adjacent over opposite

What is the decimal equivalent of sine of angle A rounded to the nearest ten-thousandth?

• 0.4167

• 0.9231

• 0.8462

• 0.3846

What is the correct fraction for cosine of angle A?

• 13/12

• 13/5

• 12/13

• 5/13

How is the adjacent side determined for angle A?

• It's opposite angle A

• It's opposite the 90-degree angle

• It's the longest side of the triangle

• It's next to angle A and not the hypotenuse

For angle B, what is the tangent ratio as a fraction?

• 5/13

• 5/12

• 12/5

• 13/5

What is the decimal form of cosine for angle B?

• 0.8462

• 0.4167

• 0.3846

• 0.9231

What changes when calculating ratios for angle B compared to angle A?

• The ratios remain exactly the same

• The hypotenuse becomes the opposite

• The hypotenuse is no longer the longest side

• The opposite and adjacent sides swap roles