By the end of this module you will be expected to have learnt the following formulae:
Dividing and Factoring Polynomials[edit | edit source]
If you have a polynomial f(x) divided by x - c, the remainder is equal to f(c). Note if the equation is x + c then you need to negate c: f(-c).
A polynomial f(x) has a factor x - c if and only if f(c) = 0. Note if the equation is x + c then you need to negate c: f(-c).
Formula For Exponential and Logarithmic Function[edit | edit source]
- where c is a constant
The inverse of is which is equivalent to
Change of Base Rule: can be written as
Laws of Logarithmic Functions[edit | edit source]
When X and Y are positive.
Conversion of Degree Minutes and Seconds to a Decimal[edit | edit source]
where X is the degree, y is the minutes, and z is the seconds.
Note: θ need to be in radians
Note: θ need to be in radians.
The Trigonometric Ratios Of An Angle[edit | edit source]
Function |
Written |
Defined |
Inverse Function |
Written |
Equivalent to
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Cosine
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Sine
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Tangent
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Important Trigonometric Values[edit | edit source]
You need to have these values memorized.
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0 |
0 |
1 |
0
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1 |
0 |
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The reason that we add a + C when we compute the integral is because the derivative of a constant is zero, therefore we have an unknown constant when we compute the integral.
Rules of Definite Integrals[edit | edit source]
- , F is the anti derivative of f such that F' = f
- Area between a curve and the x-axis is
- Area between a curve and the y-axis is
- Area between curves is
Where:
Where: n is the number of strips.
and