Trigonmetry
Evaluate
Equations
Graphing
Miscellaneous
100
Complete the identity: ______ + 1 = cot^2 x
csc^2 x
100
log base 2 of 1/8
-3
100
f(x) = 3x + 1, g(x) = x^3 What is fog(-3)
-80
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: (x^2 +2)/(2x^2 - 5x - 3)
R, x cannot equal -1/2, 3
200
Solve on [0, 2pi): sec x + 2 = 0
2pi/3, 4pi/3
200
ln e^7
7
200
Solve: 4^(x+3) = 16^(5x)
x=1/3
200
State the vertical asymptotes of this function: x / (x^2-3x+2)
x=2, x=1
200
Given that C=102.3, B=28.7, b = 27.4, find A
A = 49
300
Find the other five function values. Give exact answers sin x = 3/5
cos x = 4/5 sec x = 5/4 tan x = 3/4 cot x = 4/3 csc x = 5/3
300
sin pi
0
300
e^x + 5 = 66
x = 4.111
300
State the horizontal asymptote of this function: (3x^2)/(x^3 - 4x +3)
y=0
300
Find the inverse of y=4x -5
x = 4y -5 or y=(x+5)/4
400
Evaluate arccos (-2)
not possible
400
arccos (1)
0
400
Solve: log base2 of (x+3) = 5
x=29
400
How do we graphically determine if an equation is a function?
What is the vertical line test
400
Verify: (sec^2 x - 1) / (sec^2 x) = sin^2 x ( Question must be done on the board)
Answers may vary
500
Find cos (5 pi / 12) exactly
(6^(1/2) - 2^(1/2))/4
500
arcsin (-1/2)
-pi/6
500
Solve log(x + 5) - log (x - 3) = log 2
x = 11
500
How do we graphically determine if a function is one - to - one
What is the horizontal line test
500
State the period and amplitude of y=2tan(pi)(x)
Amplitude = 2, Period = 1
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