Exploring Trigonometric Ratios

This video introduces trigonometry ratios, focusing on the vocabulary of adjacent, opposite, and hypotenuse. It explains how to identify these sides in a right triangle and introduces the trig ratios sine, cosine, and tangent using the acronym SOHCAHTOA. The video includes examples of calculating these ratios with given angles and sides, emphasizing the importance of correctly identifying triangle sides relative to the central angle.

What does the 'A' in 'Adjacent' stand for?

• Adjacent

• Across

• Angle

• Area

Which side is opposite to the central angle in a right triangle?

• The side across from the angle

• The shortest side

• The side next to the angle

• The longest side

What does the 'H' in 'Hypotenuse' represent?

• Height

• Horizontal

• Hypotenuse

• Hyperbolic

What is the acronym used to remember trigonometry ratios?

• COSATOH

• HOTASOCOA

• TOAHASOC

• SOHCAHTOA

What does 'Sine' represent in SOHCAHTOA?

• Adjacent over Hypotenuse

• Opposite over Adjacent

• Hypotenuse over Opposite

• Opposite over Hypotenuse

In the context of a right triangle, what does 'Cosine' measure?

• Adjacent over Opposite

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

• Hypotenuse over Adjacent

How is 'Tangent' calculated in trigonometry?

• Adjacent over Opposite

• Hypotenuse over Opposite

• Opposite over Adjacent

• Hypotenuse over Adjacent

What is the sine of angle A if the opposite side is 4 and the hypotenuse is 5?

• 4 over 5

• 3 over 5

• 5 over 4

• 1 over 5

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

• 10 over 8

• 8 over 10

• 2 over 5

• 4 over 5

For a right triangle with an opposite side of 6 and an adjacent side of 8, what is the tangent of the angle?

• 8 over 6

• 6 over 8

• 4 over 3

• 3 over 4