Trigonometric Functions
What is 180° in radians?
(π) pi
[-4 6 -6]+[6 -5 2]=?
[2 1 -4]
Write in Component Form
AB where A=(-4,-3) B= (-4,8)
<0,11>
What is the center and radius of the circle?
(x-12)2 + (y+7)2 =9
Center= (12,-7)
Radius= 3
Find the exact value.
Sin 3π/4
√2/2
Solve.
[7 -1 2] - 4x = [23 -41 -26]x=[ -4 10 7]
Find the Magnitude
CD where C=(2,-8) D=(5,-6)
√13
Identify the Vertex, Focus, and Directrix of the Parabola.
y=-x2+2x-8
Vertex=(1,-7)
Focus=(1, -29/4)
Directrix= y=-27/4
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
[-5 0 -10 -14] -[ 3 2 8 6]=?
[-8 -2 -18 -20]
Find the Linear Combination
|n| = 13, 160°
-12.216i + 4.446j
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
Find AB
AC=17.8mi
BC=12.3mi
<c=64.9°
AB= 16.8mi
Use Cramers rule to solve
5x+4y=-12
-6x-6y=12
What is the dot product of the Vector?
u=<-5,3>
v=<-9,2>
51
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
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
Solve the equation.
4x + 5y + 5z =-11
-5x + 4y - 2z =24
x - 5y =-9
x= -4
y= 1
z= 0
Convert the rectangular form to polar form
5√2 /2 + 5√2 / 2i
5(cos135°,isin135°)
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