Precalculus Class

Conics

100

Center of (x-3)² + (y+5)² =49

(3, -5)

200

Vertex of the parabola( y + 3)² = 16 (x+2)

(-2,-3)

300

It is the length formula of the transverse axis

2a

400

Equation of a circle with center at (0,-1) and radius =7

x² +(y+1)² = 49

500

p - value of the parabola (x - 2)² = -18(y +1)

p = -9/2

Rational Functions

100

Domain of   f(x) = 3x/ (x-1)

Real numbers except 1

200

Vertical asympote(s) of y = (3x -1)/(x² -4)

x = 2 and x = -2

300

Equation of the Horizontal asymptote of 

f(x) = 6x/(2x-1)

y = 3

400

Coordinates of the hole of  y = (x² - 1)/(2x² -2x)

(1,1)

500

Equation of the slant asymptote of

 g(x) = (x²+1)/(x+1)

y = x

Factoring

100

Factor x² - 25

(x - 5)(x + 5)

200

Factor 2x²y - 6xy² 

2xy(x - 3y)

300

x² -11x +18

(x - 2)(x - 9)

400

Factor x² + 4

(x - 2i)(x + 2i)

500

x³ - 27

(x -3)(x² +3x +9)

Trigo. Functions

100

It is the reciprocal of secant

cosine

200

If sinA = 3/5, find cosA

CosA = 4/5

300

Exact value of sin30⁰ + cos60⁰

1

400

450⁰ is this type of angle

quadrantal

500

If TanA = 1, find the possible measure(s)of the angle  A in the interval [0⁰, 360⁰]

A = 45⁰ or A = 225⁰

Special Angles

100

Find the reference of  120⁰

60⁰

200

Find the reference angle for 500⁰

40⁰

300

Reference angle of -110⁰

70⁰

400

Because of  its measure, what type of angle is a reference angle?

Acute angle

500

Write a formula for all positive coterminal angles of 

B = -10⁰

-10⁰ + n(360⁰),  where n is a positive integer