Trigonometric Ratios and Properties

The video tutorial introduces right angle triangles, focusing on the relationship between angles and sides. It explains how to identify the hypotenuse, opposite, and adjacent sides relative to a given angle. The tutorial includes an exercise to practice identifying these sides. It then explores similar triangles and the concept of side ratios, leading to an introduction to trigonometric ratios: sine, cosine, and tangent. The video explains the significance of these ratios and provides a mnemonic, SOHCAHTOA, to help remember them.

What is the Greek letter commonly used to represent angles in a triangle?

• Theta

• Beta

• Gamma

• Alpha

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

• Base

• Hypotenuse

• Opposite

• Adjacent

What do we call the side of a triangle that is opposite to a given angle?

• Hypotenuse

• Base

• Opposite

• Adjacent

What is the symbol used to denote similarity between two triangles?

• ~

• =

• ∼

• ≡

Which of the following is true for similar triangles?

• They have the same size.

• They have the same shape but different sizes.

• They have different shapes and sizes.

• They have the same angles and side lengths.

What is the ratio of the opposite side to the hypotenuse called?

• Sine

• Secant

• Cosine

• Tangent

Which trigonometric ratio is represented by the adjacent side over the hypotenuse?

• Cotangent

• Sine

• Cosine

• Tangent

What is the mnemonic used to remember the trigonometric ratios?

• SOHCAHTOA

• Pythagoras

• Sine Rule

• Cosine Rule

What does the 'TOA' in SOHCAHTOA stand for?

• Tangent = Opposite / Hypotenuse

• Tangent = Adjacent / Opposite

• Tangent = Opposite / Adjacent

• Tangent = Hypotenuse / Opposite

What does the term 'trigonometric' in 'trigonometric ratios' refer to?

• Measurement of polygons

• Measurement of angles

• Measurement of triangles

• Measurement of circles