Pre-Cal

Unit Circle

100

radian measure for 30 degrees

What is 

pi/6

200

Reference angle for  (11pi)/6 

What is 

pi/6

300

Terminal point for  (5pi)/2 

What is (0,1)

400

Y value when 3/5 is the X value of a terminal point on the unit circle in Quad IV.

What is -4/5

500

 (3pi)/4 in degrees

What is 135 degrees?

Systems of Equations

100

{2x-y =5,x + 4y =7}

What is x = 3 and y =1

200

 {8x,-2y, =5 , -12x + 3y =7} 

What is no solution

300

 {3x-6y =12, 4x - 8y =16} 

What is Infinity many solutions.

400

x - 2y + 3z = 1

x + 2y - z = 13

3x + 2y - 5z = 3

What is x = 3, y = 7, z = 4

500

The sum of two numbers is twice their difference.  The larger number is 6 more than twice the smaller.  Find the numbers. 

What is 6 & 18

Trig functions

100

Cos  (2pi)/3 

- 1/2

200

tan  (-pi)/3 

(-sqrt3)

 

300

sin  (19pi)/4 

(sqrt2)/2

400

Find tan t for terminal point

 (-6/7, (sqrt13)/7) 

.

-sqrt13/6

500

The quadrant in which t lies when

sin t  lt 0 and cos t  gt 0

What is IV quadrant

Conic Section

100

 a^2+b^2=c^2 

What is Pythagorean theorem?

200

Formula for a parabola with focus f(0, 2)

x^2 = 8y

300

Formula for a Ellipse with vertices at (+-3,0)

and Foci at ( (sqrt5, 0) 

What is x

(x^2)/9 + (y^2)/4 = 1

400

Formula for an ellipse with length of major axis 4, length of minor axis 2, foci on x-axis.

What is 

x^2 + (y^2)/4 = 1

500

Vertices, foci and asymptotes for  9x^2 - 16y^2 = 144 r 9x

Vertices (4,0) Foci (5,0)

Asymptotes  y = 3/4 x

Right Triangle Trig

100

Opposite/Hypotenuse

What is Sine Theta?

200

Opposite/Adjacent

What is Tangent Theta?

300

Adjacent/Hypotenuse

What is Cosine Theta?

400

Hypotenuse/Opposite

What is Cosecant Theta?

500

Adjacent/Opposite

What is Cotangent Theta?