Trig
LoS/LoC
Inverse Trig
Exponentials/Logarithms
Rando's
100
What is the Soh stand for in SohCahToa?
Sine=opposite/hypotenuse
100
When should we use the Law of Sines over the Law of Cosines?
When there is an angle-side pair.
100
Why do we need to restrict the domain to find the inverse trig functions?
Trig functions fail the horizontal line test across their entire domain.
100
Change into a logarithmic equation:
5^4=625
log_5(625)=4
100
What is the inverse of
f(x)=2^x
f^-1(x)=log_2(x)
200
Which trig functions are negative in the 4th quadrant?
Sine, Cosecant, Tangent, Cotangent
200
Does the Law of Sines or the Law of Cosines need to be used to find c?
Law of Cosines
200
Evaluate:
arcsin(sqrt3/2)
pi/3
200
Expand the logarithmic expression:
ln((x^3*y)/z^6)
3lnx+lny-6lnz
200
If we invest $10,000 at 2% for 10 years, what amount will we have at the end of 10 years if we compound daily?
hint: 
$12,213.96
300
cos(225^o)
-sqrt(2)/2
300
What is x?
about 26.4 degrees
300
Evaluate:
arctan(1)
pi/4
300
Condense the following logarithmic expression:
2lnx+3lny-lnz
ln((x^2*y^3)/z)
300
Given that and its reciprocal function have rotational symmetry about the origin,
sin(-30^o)=?
-sin(30^0)
400
What is the cofunction equivalent of
tan(pi/3)?
cot(pi/6)
400
What is x?
about 30.9 degrees
400
Evaluate:
arccos(sin(pi/3))
pi/6
400
Solve:
ln(3x)-ln(2x)=ln(5-x)
x=3.5 or 7/2
400
A certain type of radioactive carbon has a half-life of 100 years. How much carbon would be left after 300 years?
12.5% of the carbon
500
What is the domain of secant?
Domain:
xnepi/2+pin, n=Z
500
Explain why finding the arcsin of an angle yields two possible answers.
there are two angles on the unit circle that correspond to any given sine value
500
What is the domain of arctangent?
all real numbers
500
Evaluate:
lim_(x->oo)ln(x)
oo
500
Generate a trigonometric equation involving sine and cosine that is sinusoidal.
ex:
f(x)=sin(bx)+cos(bx)
f(x)=sin(bx)-cos(bx)