Trigonmetry
Complete the identity: ______ - 1 = cot^2 x
csc^2 x
log base 2 of 1/8
-3
Solve on [0, 2pi): tanx = -1
x = 3pi/4, 7pi/4
Is this graph of this function increasing or decreasing? f(x)=4^(-x)
decreasing (because equivalent to f(x)=(1/4)^x)
State the domain of this function: (x^2 +2)/(2x^2 - 5x - 3)
R, x cannot equal -1/2, 3
Solve on [0, 2pi): sec x + 2 = 0
2pi/3, 4pi/3
ln e^7
7
Solve: 4^(x+3) = 16^(5x)
x=1/3
State the vertical asymptotes of this function: x / (x^2-3x+2)
x=2, x=1
Expand: ln{square root[x^(2)(x+2)]}
lnx + 1/2ln(x+2)
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
sin pi
0
e^x + 5 = 66
x = 4.111
State the horizontal asymptote of this function: (3x^2)/(x^3 - 4x +3)
y=0
One period of f(x)=cos x runs from ____ to ____
max to max
Evaluate arccos (-2)
not possible
arccos (1)
0
Solve: log base2 of (x+3) = 5
x=29
Daily Double
3 Variables, x y t or theta
What is the period length of tan(x)?
pi
An energy company uses one wellhead to drill several exploratory wells as different angles. They strike oil when they have drilled 2879 feet along an angle of depression of 44 . Find the depth of the oil deposit.
1999.92 Feet
arcsin (-1/2)
-pi/6
Solve on [0, 2pi): 2sin^2 x - 3sin x +1 =0
x = pi/6, 5pi/6, pi/2
Name the complement and supplement of theta = 29pi/37
C-None S-8pi/37
A point on the rim of a wheel has a linear speed of 14 cm/sec. If the radius of the wheel is 20 cm, what is the angular speed of the wheel in radians per second?
.7 rad/sec