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Algebra 2/Trigonometry Regents Review
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Gravity
Terms in this set (26)
Raising a negative number to a power
When raising a negative number to a power always put the negative number in a parenthesis.
Factoring by grouping
Canceling out opposites
If both terms are opposite signs they can be crossed out and replaced by a negative 1.
Factoring out a -1
To factor out a -1, remove the negative and change the signs of the terms
Operations with fractions
Complex fractions
Equations with fractions
To solve equations with fraction, find a common denominator.
Drop the denominators
Solve the resulting equation.
Check the answer(s) in the denominators for extraneous roots.
Quadratic formula (Find the Roots)
the quadratic formula is x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a.
Conjugate
To find the conjugate
The first term stays the same.
Change the sign of the second term.
Domain, range, inverse
The domain is the x coordinates.
The range is the y coordinates.
To find the inverse switch the x and y coordinates.
Function
To be a function
It must pass the vertical line test.
No x coordinate can repeat.
An equation must have a y, but the y cannot be squared.
One to one function
A one to one function must pass the vertical and horizontal line test.
No x or y coordinate can repeat.
Logarithms
Convert degrees to radians
To convert from degrees to radians multiply the degrees by pi and divide by 180.
Convert radians to degrees
To convert from radians to degrees, multiply the radians by 180 and divide by pi.
Degrees and radians
Once around a circle is 2 pi radians or 360 degrees.
½ of the way around a circle is pi radians or 180 degrees.
¼ of the way around a circle is pi divided by 2 or 90 degrees.
Cotangent
cotangent equals 1 divided by tangent or
cosine divided by sine.
Tangent
Tangent equals sine divided by cosine.
Exact values of trigonometric functions
Rationalizing the denominator
To rationalize a denominator multiply the numerator (top) and denominator (bottom)
by the conjugate of the denominator (bottom).
Sine, Cosine, Tangent on the unit circle
Conterminal Angles
Coterminal angles are just different ways of naming the same angle.
Square root equations
To solve square root equations
Isolate the square root on one side of the equation.
Square both sides of the equation
Check the answer(s) in the original equation for extraneous roots.
Converting between logarithm and exponent form
Snail it!
Common Logarithms
Natural Logarithms
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