Trigonometric Functions and Ratios

In this video, Lucy revisits trigonometry, focusing on the SOHCAHTOA mnemonic to solve right-angle triangles. The video explains how to identify the sides of a triangle and choose the correct trigonometric function (sine, cosine, or tangent) to find a missing side when given an angle and another side. Two example problems are solved: one using the sine function and the other using the tangent function. The video concludes with a brief summary and a preview of the next lesson.

What is the primary focus of this video tutorial?

• Learning about trigonometric functions and right-angle triangles

• Exploring the properties of isosceles triangles

• Studying the angles of a quadrilateral

• Understanding the Pythagorean theorem

What does the mnemonic SOH-CAH-TOA help you remember?

• The types of angles in a triangle

• The trigonometric ratios for sine, cosine, and tangent

• The order of operations in mathematics

• The names of the sides of a triangle

In the SOH-CAH-TOA mnemonic, what does 'SOH' stand for?

• Sine equals hypotenuse over adjacent

• Sine equals opposite over hypotenuse

• Sine equals hypotenuse over opposite

• Sine equals adjacent over hypotenuse

When using the sine function to find a missing side, which sides are involved?

• Adjacent and hypotenuse

• Adjacent and opposite

• All three sides

• Opposite and hypotenuse

In the example with a 30° angle, which side is labeled as the hypotenuse?

• The side opposite the 30° angle

• The side adjacent to the 30° angle

• The longest side opposite the right angle

• The shortest side of the triangle

What is the result of calculating 2 * sin 30° in the example?

• 2

• 1.5

• 0.5

• 1

In the second example, which trigonometric function is used?

• Sine

• Cosine

• Tangent

• Secant

For the 45° angle example, which side is considered the adjacent?

• The side next to the 45° angle

• The longest side of the triangle

• The shortest side of the triangle

• The side opposite the 45° angle

What is the calculated value of X in the tangent example?

• 0.5 km

• 1 km

• 1.5 km

• 2 km

What should you ensure before starting to solve a trigonometry problem?

• Label the sides correctly

• Memorize the Pythagorean theorem

• Calculate the area of the triangle

• Identify the type of triangle