Determine your quadrant when given constaints on sine and cosine

The video tutorial explores the concept of quadrants in geometry, focusing on the unit circle and the relationship between cosine, sine, and tangent. It explains how these trigonometric functions relate to the X and Y coordinates on the unit circle, particularly when the radius is 1. The tutorial further analyzes the signs of these functions in different quadrants, emphasizing when sine and cosine are negative, and concludes that under certain conditions, the relevant quadrant is Quadrant 3.

How many quadrants are there in a coordinate plane?

• 5

• 4

• 3

• 2

In the unit circle, what does the cosine of an angle represent?

• The y-coordinate of the point

• The x-coordinate of the point

• The angle in degrees

• The radius of the circle

What is the relationship between sine and the y-coordinate on the unit circle?

• Sine is the radius

• Sine is the y-coordinate

• Sine is the x-coordinate

• Sine is unrelated to the y-coordinate

In which quadrant are both sine and cosine negative?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

If sine is negative and cosine is negative, which quadrant does the angle lie in?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant