Final Exam – Unit 6 Study Guide

Front

Fill in the blank: cos 60° = ___

Back

1/2

Front

Fill in the blank: cos 3π/4 = ___

Back

-√2/2

Front

Fill in the blank: sin 45° = ___

Back

√2/2

Front

Write an equation of the circle in standard form with the given characteristics: endpoints of diameter: (-18, -3) and (8, 11).

Back

(x + 5)^2 + (y - 4)^2 = 218

Front

Identify the center and radius for the circle with the equation (x + 2)^2 + (y - 7)^2 = 16.

Back

Center: (-2, 7), Radius: 4

Front

Definition: Cosine of an angle in a right triangle.

Back

The ratio of the length of the adjacent side to the length of the hypotenuse.

Front

Definition: Sine of an angle in a right triangle.

Back

The ratio of the length of the opposite side to the length of the hypotenuse.

Front

Definition: Standard form of a circle's equation.

Back

(x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

Front

Definition: How to find the center of a circle from its equation.

Back

The center is given by the coordinates (-h, -k) from the standard form (x - h)^2 + (y - k)^2 = r^2.

Front

Definition: How to find the radius of a circle from its equation.

Back

The radius is the square root of the constant on the right side of the equation in standard form.