Trigonometric Functions and Ratios

The video tutorial introduces sine and cosine, explaining their definitions and ratios in right triangles. It covers examples of calculating sine for specific angles and discusses the concept of similar triangles, emphasizing the constant ratio of sides for a given angle. The tutorial aims to help students understand and memorize these trigonometric concepts through practical examples and applications.

What are the two main trigonometric functions introduced in this section?

• Sine and Tangent

• Secant and Cosecant

• Sine and Cosine

• Tangent and Cotangent

In a right triangle, what is the side opposite the right angle called?

• Adjacent

• Opposite

• Hypotenuse

• Base

How is the sine of an angle in a right triangle defined?

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

• Opposite over Adjacent

• Hypotenuse over Opposite

What is the correct notation for the sine of angle Theta?

• S of Theta

• sin Theta

• Theta sin

• sin * Theta

In the example problem, if the opposite side is 2.0 cm and the hypotenuse is 2.9 cm, what is sin(Theta)?

• 0.58

• 0.69

• 0.72

• 0.75

What is the sine of angle Alpha if the opposite side is 5 and the hypotenuse is 13?

• 0.38

• 0.42

• 0.45

• 0.39

What is a Pythagorean triple mentioned in the example?

• 6, 8, 10

• 3, 4, 5

• 7, 24, 25

• 5, 12, 13

What remains constant in similar triangles with the same angle?

• The side lengths

• The sine ratio

• The hypotenuse length

• The angle measures

If the angle in a triangle changes, what happens to the sine ratio?

• It remains the same

• It halves

• It changes

• It doubles