Trigonometric Functions and Their Properties

The video tutorial explains trigonometric ratios, focusing on sine and cosine. It begins with an introduction to the purpose and approach of the lesson, followed by a detailed explanation of sine and cosine using the unit circle. The tutorial visualizes these functions and explores the concept of complementary angles, providing a comprehensive understanding of trigonometric functions and their relationships.

What is the primary trigonometric function from which others are defined?

• Sine

• Tangent

• Cosine

• Secant

What does the term 'sine' originally refer to?

• A triangle

• A circle

• A wave-like shape

• A straight line

On the unit circle, what does the y-coordinate represent?

• Secant

• Sine

• Tangent

• Cosine

How is the x-coordinate on the unit circle defined?

• Cosine

• Sine

• Cosecant

• Tangent

What is the length corresponding to sine on the unit circle?

• Horizontal distance

• Vertical distance

• Diagonal distance

• Radius

What color is used to represent sine in the visualization?

• Green

• Red

• Yellow

• Blue

What is the complementary angle of theta in a right triangle?

• 360° - Theta

• 180° - Theta

• 90° - Theta

• Theta

What does cosine represent in terms of the complementary angle?

• Opposite of the complement of theta

• Adjacent to theta

• Opposite of theta

• Hypotenuse

What is the relationship between cosine of 90° and sine?

• They are unrelated

• Cosine is the complement of sine

• Cosine is double sine

• They are equal

When do we start using the sine rule?

• In right angle triangles

• In non-right angle triangles

• In equilateral triangles

• In isosceles triangles