Trigonmetry
Complete the identity: 1 - (sinx)^2 =
(cos x )^2
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)=2 +3x^2 - 5x^3
decreasing
State the domain of this function: (x^2 +2)/(x^2 - 5x - 6)
R, x cannot equal 6 and x can not equal -1
or from x = neg infinity to x = -1( not included)
and from x = -1 to x = 6 (not included )
and from x = 6 to infinity
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
In a triangle Given that angle C=102.3, angle B=28.7, find measure of angle A
A = 49
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
x^2- 8x =0
x = 0 and x = 8
State the horizontal asymptote of this function:
y= (2x)/(x-5)
y=2
What is the period of y = 3 + 6 sin 4x
pi /2
Evaluate arccos (sqrt(3)/2)
pi/6 11pi/6
arcsin (-1)
3pi/2
Solve: log base2 of (x+3) = 5
x=29
describe the end behavior of:
f(x)=4-2x^3
as x approaches infinity f(x) approaches neg infinity
as x approaches neg infinity f(x) approaches pos infinity
Verify: ((sec x) ^2 - 1) / ((sec x)^2) = (sin x )^2
Answers may vary
Given that a = 15, b = 25, c = 85, are there one, two, or no triangles possible?
no triangles possible
arcsec (-2)
2pi/3 , 4pi/3
Solve on [0, 2pi): (sin x)^2 - sin x=0
x = 0 , x = pi, x = pi/2
on what interval is f(x) increasing
f(x) =4 - 2x^2
from neg infinity to x=0
State the period and amplitude of y= - 2cos(pi)(x)
Amplitude = 2, Period = 2