Finding Coordinates on the Unit Circle

The video tutorial explains how to find the x coordinate of a point on the unit circle given its y coordinate and quadrant. It covers the properties of the unit circle, the equation used to solve for x, and an alternative method using a reference triangle. The tutorial also demonstrates how to calculate the solution and provides a decimal approximation, emphasizing the importance of not rounding unless specified.

In which quadrant is point P located if its y-coordinate is -2/3?

• 4th Quadrant

• 3rd Quadrant

• 1st Quadrant

• 2nd Quadrant

What is the equation of the unit circle centered at the origin?

• x^2 + y^2 = 0

• x^2 - y^2 = 1

• x^2 + y^2 = 1

• x^2 - y^2 = 0

What is the radius of the unit circle?

• 3

• 0

• 1

• 2

What method can be used to find the x-coordinate of point P?

• Linear equation

• Pythagorean theorem

• Quadratic formula

• Algebraic manipulation

Which coordinates are positive in the 4th quadrant?

• Both x and y

• Neither x nor y

• Only x

• Only y

What is the value of x^2 when y = -2/3 in the unit circle equation?

• 5/9

• 3/9

• 4/9

• 1/9

What is the result of subtracting 4/9 from 1 in the unit circle equation?

• 3/9

• 5/9

• 4/9

• 1/9

What is the correct x-coordinate of point P in the 4th quadrant?

• Square root of 5 over 2

• -Square root of 5 over 3

• Square root of 5 over 3

• -Square root of 5 over 2

How do you calculate the square root of 5/9?

• Square root of 5 over square root of 9

• Square root of 5 times square root of 9

• Square root of 5 minus square root of 9

• Square root of 5 plus square root of 9

What is the approximate decimal value of the square root of 5 divided by 3?

• 0.905

• 0.745

• 0.675

• 0.825