Trig Equations
Conics
Sequences
More Trig Stuff
Evaluate
100
Solve give the general solution:
2cos^2x-cosx=0
x={+-pi/3+2pin,+-pi/2+2pin}
100
What type of conic section is this?
Ellipse
100
Write an explicit formula for the following sequence:
2, 6, 18, 54, ...
a_n=2(3)^(n-1)
100
Complete the identity: ______ + 1 = cot^2 x
csc^2 x
100
sin (pi)
0
200
Solve for the general solution:
4sin^2x=3
x={pi/3+2pin, (2pi)/3+2pin, (4pi)/3+2pin, (5pi)/3+2pin}
200
What number must be added to complete the square?
x^2+3x
9/4
200
Find the 20th term of the sequence:
50, 45, 40, 35, ...
-45
200
Solve on [0, 2pi): sec x + 2 = 0
2pi/3, 4pi/3
200
arccos (1)
0
300
Solve for the given domain of
[0,2pi]
2csc^2x-3cscx-2=0
x={pi/6, (5pi)/6}
300
In which direction does this parabola open?
y^2=6x
right
300
What is the coefficient of the term containing
a^6
in the expansion of
(a+3b)^10?
17010
300
What would you find first in this problem, and what law would you use to find it? Solve triangle ABC given that a = 8, c = 5, and B = 40
b, using law of cosines
300
arcsin (-1/2)
-pi/6
400
Solve for the domain of
[-pi,pi]
cos(2x)=cosx
x={-2pi/3, 0, (2pi)/3}
400
Write the equation of this hyperbola:
x^2/16-y^2/9=1
400
What is the sum of the series?
sum_(n=1)^oo 2(1/3)^(n-1)
3
400
Evaluate arccos (-2)
not possible
400
sin(arcsin(−1/2))
-1/2
500
Solve for the given domain:
(-pi,pi)
1-cos x=-sin x
x={-pi/2, 0}
500
What are the coordinates of the foci for this ellipse?
(0, 2sqrt5)
(0, -2sqrt5)
500
Find the sum of the first 100 terms of an arithmetic series if the first 3 terms of the series are 1, 4, 7.
14,950
500
Given that a = 15, b = 25, A = 85, are there one, two, or no triangles possible?
no triangles possible
500
csc(arcsin (-1)
-1