Trigonmetry
Evaluate
Equations
Graphing
Miscellaneous
100
Complete the identity:
1 - 2sin2x =_______
cos2x
100
log 2 (1/8)
-3
100
Solve on [0, 2pi): tanx = -1
x = 3pi/4, 7pi/4
100
Is this graph of this function increasing or decreasing?
f(x)=4-x
decreasing (because equivalent to f(x)=(1/4)^x)
100
State the domain of this function:
(x2 +2)/(2x2 - 5x - 3)
x cannot equal -1/2, 3
200
Solve on [0, 2pi):
sec x + 2 = 0
2pi/3, 4pi/3
200
ln e7
7
200
Solve:
4(x+3) = 165x
x=1/3
200
State the vertical asymptotes of this function:
x / (x2-3x+2)
x=2, x=1
200
Given that C=102.3, B=28.7, b = 27.4, find A
A = 49
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
sin pi
0
300
ex + 5 = 66
x = ln61
300
State the horizontal asymptote of this function: (3x2+x)/(x3 - 4x +3)
y=0
300
State the center for the conic:
9x2 + y2 - 36x + 10y = -25
(2,-5)
400
Evaluate cos -1 (-2)
not possible
400
cos-1 (1)
0
400
Solve:
log2(x+3) = 5
x=29
400
a) Determine the Domain.
b) Is the relation one-to-one?
a) -3 <=x <2
b) no
400
State the slant asymptote:
f(x)=(x2 - 3x + 4)/(x - 5)
y=x+2
500
CALCULATOR
Given that a = 15, b = 25, A = 85, are there one, two, or no triangles possible?
no triangles possible
500
sin-1 (-1/2)
-pi/6
500
Solve on [0, 2pi):
2sin2 x - 3sin x +1 =0
x = pi/6, 5pi/6, pi/2
500
Odd, Even or Neither?
Odd
500
State the period and amplitude of y=2tan(pi)(x)
Amplitude = 2
Period = 1