Trigonometric Ratios and Triangle Properties

The video reintroduces trigonometry, focusing on right angle triangles and their significance in measuring angles and sides. It explains the components of a right angle triangle, including the hypotenuse, adjacent, and opposite sides. The video introduces trigonometric ratios: sine, cosine, and tangent, and uses the mnemonic SOHCAHTOA to help remember these ratios. It also discusses how the position of angles affects the naming of sides and the application of trigonometric ratios.

What does the 'tri' in trigonometry signify?

• Four

• Five

• Three

• Two

In a right-angled triangle, which side is always opposite the right angle?

• Adjacent

• Opposite

• Base

• Hypotenuse

What term is used to describe the side next to the angle in a right-angled triangle?

• Base

• Hypotenuse

• Opposite

• Adjacent

Which trigonometric ratio is defined as opposite over hypotenuse?

• Cosine

• Tangent

• Sine

• Secant

What mnemonic device helps remember the trigonometric ratios?

• FOIL

• PEMDAS

• BODMAS

• SOHCAHTOA

How can tangent be expressed in terms of sine and cosine?

• Cosine minus Sine

• Cosine divided by Sine

• Sine divided by Cosine

• Sine plus Cosine

What happens to the names of the sides when the angle of reference changes in a triangle?

• They remain the same

• They are renamed randomly

• They switch places

• They become undefined

What is the new angle introduced in the triangle called?

• Theta

• Beta

• Alpha

• Phi

Which side remains unchanged when the angle of reference changes in a triangle?

• Adjacent

• Hypotenuse

• Opposite

• Base

What is the position of the opposite side relative to the angle phi?

• Above phi

• Next to phi

• Across from phi

• Below phi