Precal Final Exam

Front

What is the definition of a unit circle?

Back

A unit circle is a circle with a radius of 1, centered at the origin (0, 0) in the coordinate plane.

Front

What is the relationship between the angles and coordinates in a unit circle?

Back

For an angle θ in standard position, the coordinates of the point on the unit circle are given by (cos(θ), sin(θ)).

Front

What is the formula for the equation of a circle?

Back

Front

How do you find the center of a circle from its equation?

Back

Front

Back

First, rewrite the equation in standard form. Completing the square gives a radius of 8.

Front

What is the significance of the angles in a right triangle inscribed in a unit circle?

Back

The angles determine the coordinates of the triangle's vertices on the unit circle, which correspond to the sine and cosine values.

Front

What is the value of sin(60°) and cos(60°)?

Back

Front

How do you convert the general form of a circle's equation to standard form?

Back

Front

What is the distance formula used for in coordinate geometry?

Back

Front

What is the relationship between secant and cosine?

Back