| Logarithms and Exponentials | Trigonometry 1 | Trigonometry 2 | Inverses | Misc. |
|---|---|---|---|---|
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What is (a^m)/(a^n) = a^(m-n)
What is the Quotient Rule for exponentials?
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What is degrees/180 = radians / pi
What is the formula to convert between degrees and radians?
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Domain: all real numbers, except (pi/2)*k, where k is an odd interval
Range: (inf, inf) Undefined at (-3pi/2, -pi/2, pi/2, 3pi/2)
What is the domain and range of tan(t) and sec(t)? Give an example on the unit circle of when tan(t) and sec(t) are undefined.
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What is they undo each other.
What is the relationship between a function and it's inverse?
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What is brackets mean that the number is included and parenthesis mean that everything is included up to that point but not that point.
Explain the difference between brackets and parenthesis in interval notation.
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What is log m^n = nlogm
What is the power rule for logs?
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What is sin^2(t)+cos^2(t) = 1
1+cot^2(t)=csc^2(t) tan^2(t)+1=sec^2(t)
Name the Pythagorean identities
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Even functions are symmetrical about the x-axis, where f(-x) = f(x)
Explain the difference between even and odd functions.
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What is f inverse.
What does f^-1 (x) mean?
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What is the slope.
What does the average rate of change find in linear functions?
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What is e^y = 2.4
Write the following in exponential form:
ln(2.4) = y |
What is the domain is negative infinity to positive infinity and the range is [-1,1].
what are the domain and range for cosine and sine?
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What is cos t= x/r
sec t= r/x csc t= r/y
What are the right triangle definitions of cos t, sec t, and csc t?
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What is y=x
The graph of a function and it's inverse are always reflected over what line.
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What is positive if increasing and negative if decreasing.
When is the rate of change positive? negative?
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log(5x*7x/x^3)
log(35x/x^3) log(35/x)
Condense the following:
log(5x) + log(7x) - 3log(x) |
What is tan t = y/x
cot t = x/y
What are the definitions of tan t and cot t?
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tan^2(t)+1=sec^2(t)
sqrt10 = sec(t) sec(-t) = sec(t) sqrt10 = sec(-t)
If tan=3 and sin is positive, find sec(t) and sec(-t)
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What is you switch x and y and then solve for y.
What is the method for finding the inverse?
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What is A = P(1+(r/n))^nt
What is the compound interest formula?
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What is (a^m)^n = a^(mxn)
(ab)^m = (a^m)(b^m) (a/b)^m = (a^m) / (b^m) where b is nonzero
What are the power rules for exponentials?
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What is sec t = 1/x
csc t = 1/y
What are the definitions of sec t and csc t?
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What is for the angle in standard position, the reference angle is the positive acute angle made by the terminal side and the x axis.
What is the definition of a reference angle in your own words?
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What is you restrict the domain.
What do you do to a non one to one function in order to find its inverse?
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What is Ae^kt
What is the continuous growth or decay formula?
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