Factoring
Factor: x^2+5x-6
(x - 1)(x + 6)
Identify the conic section:
(x-2)^2/4+(y+2)^2/6=1
ellipse
if sin(theta)=5/13 find cos(theta) .
cos(theta)=12/13
Complete the trig identity:
sec(x) = 1/?
cos(x)
Factor: x^2-5x-6
(x - 2)(x - 3)
Identify the conic section:
(x-1)^2+(y+3)^2=16
circle
if sin(theta)=9/41 find tan(theta) .
tan(theta)=9/40
Complete the trig identity:
sin^2(x) + cos^2(x) = ?
1
Factor: 2x^2+4x-6
(x - 1)(x + 3)
Describe the conic section (type, characteristics)
(x-2)^2/4+(y+2)^2/4=1
Circle; Center (2, -2); radius 2
if tan(theta)=4/3 find csc(theta)
csc(theta)=5/4
Complete the trig identity:
1 + ? = sec^2(x)
1 + tan^2(x) = sec^2(x)
Solve: 3x^2 + 12x = 0
x = 0, x = -4
Describe the conic section (type, characteristics)
(x-4)^2/4-(y-1)^2/4=1
hyperbola, opens to the left and right, center at (4, 1).
For what values of
0<=theta<2pi is cos(theta)=+-1/2 ?
x=pi/3, (2pi)/3, (4pi)/3, (5pi)/3
Complete the trig identity:
cos(2x) = ?
cos(2x) = cos^2(x) - sin^2(x)
cos(2x) = 2cos^2(x) - 1
cos(2x) = 1 - 2sin^2(x)
Solve by factoring: 4x^3-8x^2-32x=0
4x(x + 2)(x - 4)
x = 0, -2, 4
Identify the conic section:
x^2 - 2x + y^2 - 6 y + 6 = 0
circle
Solve the equation:
sec(x)=1/2
no solutions
Use identities to solve for x on the interval 0°<=x<360°
cos(2x) = cos(x)
x = 0°, 120°, 240°