Pre Calc

Trigonometric Functions

100

What is 180° in radians?

(π) pi

200

Find the exact value.

Sin 3π/4

√2/2

300

Determine the following parts of the graph. Including Amplitude, Period, Phase shift, and Vertical shift.

4sin(2(x))+2

Amplitude=4

Period=π

Phase Shift=0

Vertical shift=2

400

Find AB

AC=17.8mi
BC=12.3mi

<c=64.9°

AB= 16.8mi

500

During a figure skating routine, Jackie and Peter skate apart with an angle of 15° between them. Jackie skates for 5 meters and Peter Skates for 7 meters. How far are the skaters?

2.5m

Matrices

100

[-4 6 -6]+[6 -5  2]=?

[2 1 -4]

200

Solve.

[7 -1  2] - 4x = [23 -41 -26]

x=[ -4  10  7]

300

[-5 0 -10 -14] -[ 3 2 8 6]=?

[-8 -2 -18 -20]

400

Use Cramers rule to solve 

5x+4y=-12

-6x-6y=12

(-4,2)

500

Solve the equation.

4x + 5y + 5z =-11

-5x + 4y - 2z =24

x - 5y =-9

x= -4

y= 1

z= 0

Vectors

100

Write in Component Form

AB where A=(-4,-3) B= (-4,8)

<0,11>

200

Find the Magnitude 

CD where C=(2,-8) D=(5,-6)

√13

300

Find the Linear Combination

|n| = 13, 160°

-12.216i + 4.446j

400

What is the dot product of the Vector?

u=<-5,3>

v=<-9,2>

51

500

Convert the rectangular form to polar form

5√2 /2 + 5√2 / 2i

5(cos135°,isin135°)

Conics

100

What is the center and radius of the circle?

(x-12)² + (y+7)² =9

Center= (12,-7)

Radius= 3

200

Identify the Vertex, Focus, and Directrix of the Parabola.

y=-x²+2x-8

Vertex=(1,-7)

Focus=(1, -29/4)

Directrix= y=-27/4

300

Write the standard form equation of the ellipse.

Vertices=(-1,6) (-1,-20)

Foci=(-1,5) (-1,-19)

(x+1)²/25  +  (y+7)²/169 = 1

400

Identify the Vertices, Foci, and Asymptotes.

(y+2)²/49 - (x+4)²/121 = 1

Vertices= (-4,5) (-4,-9)

Foci=( -4,-2+√170) (-4,-2-√170)

Asymptotes= y=7/11x + 6/11    &

y=-7/11x -50/11

500

Identify the Center, Vertices, Co-vertices, Foci, and eccentricity of the equation. 

(x+1)²/36  + y²/49  =1

Center=(-1,0)

Vertices=(-1,7) (-1,-7)

Co-vertices= (5,0) (-7,0)

Foci= (-1,√13) (-1, -√13)

Eccentricity= √13 / 7