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