Trigonometric Ratios and Concepts

The video tutorial reviews trigonometric skills, focusing on identifying the hypotenuse in right-angled triangles and calculating sine ratios. It explains the importance of exact answers over approximations and discusses the role of ratios and degrees in trigonometry. The tutorial also covers using Pythagoras' theorem to find cosine values, emphasizing the understanding of opposite, adjacent, and hypotenuse sides.

What mnemonic device is used to remember trigonometric ratios?

• FOIL

• BODMAS

• PEMDAS

• SOHCAHTOA

Which side of a right-angled triangle is always the hypotenuse?

• The side adjacent to the right angle

• The side opposite the right angle

• The shortest side

• The longest side

What is the first step in identifying the hypotenuse in a right-angled triangle?

• Find the longest side

• Locate the right angle

• Identify the opposite side

• Measure all sides

Why is it important to provide exact answers in trigonometry?

• To avoid using calculators

• To impress the teacher

• To make calculations easier

• To avoid mixing decimals and fractions

Why should decimals and fractions not be mixed in trigonometric calculations?

• It is not visually appealing

• It makes the answer more complex

• It is against mathematical rules

• It can lead to incorrect answers

What should you do if a question does not specify the number of decimal places for an answer?

• Provide an exact answer

• Use two decimal places

• Round to the nearest whole number

• Ask the teacher for guidance

What is the significance of the opposite on hypotenuse ratio?

• It is used to find the area of the triangle

• It measures the length of the hypotenuse

• It is a trigonometric ratio

• It determines the size of the angle

How do you calculate the tangent of an angle in a right-angled triangle?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Opposite over adjacent

• Adjacent over opposite

What is the purpose of using the Pythagorean theorem in trigonometry?

• To determine the angle size

• To calculate the hypotenuse

• To find the area of a triangle

• To simplify fractions

What is the cosine of an angle in a right-angled triangle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Adjacent over opposite

• Opposite over adjacent