Algebra 2 Preapordy Calc

Angles to Radians (& back!)

100

Convert 360 degrees into radians.

2π

200

Convert π/4 into degrees.

45

300

Convert 150 degrees into radians.

5π/6

400

Convert 4π/3 into degrees.

240

500

Convert 11π/6 into degrees.

330

Polar Coordinates

100

Convert (2,π ) into rectangular coordinates.

(-2,0)

200

Find one other polar representation of (-3, 2π /3)

One of the following:

(-3,-4π /3), (3,-π /3), (3,5π /3)

300

Convert (-3, 3π/2) into rectangular coordinates.

(0,-3)

400

Convert (3,-√ 3) into polar coordinates.

(2√ 3, 11π/6) or (2√ 3, -π /6)

500

Write 3 other polar representations of (3, π /4).

(3,9π /4), (-3,5π /4), (-3, -3π /4)

Conics

100

Find the radius of a circle with the equation

(x+30)²+(y+20)²=1600

40

200

Write the equation of an ellipse with a vertex at (0,4) and a minor axis of 4 units.

(x²/4)+(y²/16)=1

300

How many units are the major and minor axes of an ellipse with the equation:

((x-2)²/25)+((y+4)²/9)=1

Horizontal major axis of 10 units, vertical minor axis of 6.

400

Write the equation of a hyperbola with foci at (-4,2) and (2,2) while a=2.

((x+1)²/4)-((y-2)²/5)=1

500

Write the type of directrix and direction of opening of a parabola with the equation:

x=(-1/8)y²

Opens to the left with a vertical directrix.

Trig Identities

100

sec

1/cos

200

1-sin²

cos²

300

tan

sin/cos

400

sec²-1

tan

500

cot²+1

csc²

Unit Circle

100

(1,0)

0

200

(-1,0)

π

300

sin(π)

0

400

tan(7π/4) 

-1

500

cos(π/4)

√2/2