Precal Unit 3 and 4 MK

Front

What is the standard form of a circle's equation?

Back

The standard form of a circle's equation is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.

Front

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

Back

To find the radius from the equation x² + y² + Dx + Ey + F = 0, rewrite it in standard form and calculate r = √(h² + k²) where (h, k) is the center.

Front

What is the reciprocal of sin(θ)?

Back

The reciprocal of sin(θ) is csc(θ).

Front

What is the reciprocal of cos(θ)?

Back

The reciprocal of cos(θ) is sec(θ).

Front

What is the formula for sin(θ + φ)?

Back

sin(θ + φ) = sin(θ)cos(φ) + cos(θ)sin(φ).

Front

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

Back

Complete the square for the x and y terms in the general equation to convert it to standard form.

Front

What is the center of a circle given by the equation (x-3)² + (y+2)² = 16?

Back

The center of the circle is (3, -2).

Front

What is the radius of a circle given by the equation (x+1)² + (y-4)² = 25?

Back

The radius of the circle is 5.

Front

How do you determine the equation of a circle with center (h, k) and radius r?

Back

The equation is (x-h)² + (y-k)² = r².

Front

What is the value of sin(θ) if cos(θ) = -1?

Back

If cos(θ) = -1, then sin(θ) = 0.