Praxis 2 5161 High School math
Sum of roots
-b/a
cot(theta) =
-tan(theta-pi/2)
Amplitude of Sin and Cosine
1
Sec(theta) =
1/cos(theta)
csc(theta) =
1/sin(theta)
Derivative of ln
1/x
Test 1 Cathy - Trig and Calc.
6,
Definition of Determinant
A special number that can be calculated from a square matrix.
What are polar coordinates?
A triangle like shape made within a graph using a line from the origin
Definition of Multiplicative Inverse
Another name for Reciprocal. What you multiply by a number to get 1
Cotangent
Cos/Sin
Cos/sin =
Cotangent
Perpendicular lines
Lines that intersect to form right angles
Periods of Trig.
Sin and Cosine = 2Pi Tangent = Pi
Tan
Sin/Cos
How to find the length of a chord given a secant and tangent
Take the length of the portion of the secant outside of the circle and multiply by itself plus X = Length of tangent squared. Ex. 5(5+x)=y^2
Definition of Additive Inverse
What you add to a number to get zero. The negative of a number.
Law of cosines
a^2= b^2+c^2 - 2bccosA b^2 = a^2 +c^2-2accosB c^2 = a^2 +b^2-2abcosC use when you know - 2 sides and the included angle or 5 sides
cos(a+-b)=
cos(a)cos(b)-+sin(a)sin(b)
Ex. Solve 2sinx=1 given (0,2pi)
divide each side by 2 to get sinx=1/2, convert to radians by taking the inverse, ie. sinx^-1(1/2)
-+ =
opp. sign of other term
sin(a+-b) =
sin(a)cos(b)+-cos(a)sin(b)
tan(a+-b)
tan(a)+-tan(b)/1-+tan(a)tan(b)
When can you multiply matrices
when the columns of the one matrice equals the rows in another matrice
How to find base of a triangle
height is always perpendicular to base
Degrees to radians
Degree amount X Pi/180
What does the letter R mean in trig
Distance from the origin on the unit circle
Ex. Solve 2sinx=1 (no intervals)
Divide each side by 2 to get sinx=1/2 , convert to radians pi/6 and 5pi/6 found on unit circle and add +2pi(k), because 2pi are the periods extendin due to no interval and just multiply the k
Derivative of a Fraction
Fraction turns into a minus sign
Quadrant Rules
Quadrant 1 - all positive Quadrant 2 - Pos. - Cosecant, Sin Quadrant 3 - Pos. - Tangent, Cotangent Quadrant 4 - Pos. - Secant, Cosign North Deg./Rad - 90, pi/2 South Deg./Rad - 270, 3pi/2 East Deg./Rad - 180, pi West Deg./Rad - 360, 2pi
Asymptotes
not included in range Tan = at odd Multiples of pi/2 Cotangent = Multiples of Pi
Law of sines
sinA/a = sinB/b = sicC/c reciprocal is also true use when you know - 2 angles and one side or 2 sides and an angle opposite one of the sides
