Pre Calculas Home Work

Introduction for pre calculus home work:

Pre calculus, (or Algebra 3 in some areas) advanced form of secondary school algebra, is a foundational mathematical discipline. It is also called Introduction to Analysis. In many schools, pre calculus is the actually two separate courses: Algebra and Trigonometry. (source:Wikipedia).

Homework, or homework assignment, refers to the tasks assigned to students by their teachers to be completed mostly outside of class, and derives its name from the fact that most students do the majority of such work at home. (Source:Wikipedia).

Examples on Pre Calculus home work -

Following is the example on Pre Calculus home work

Example :

If a triangle ABC, we have that sinA = 7/9, what are the values of cosA and tanA?

Solution:

We have the basic trigonometric identity:

sin² A + cos² A = 1

In our case, we know that sin A = 7 / 9, so we replace in the previous equation to get:

cos² A = 1-(7 / 9)²

We want to solve for cosA so we get

cos² A = 1 − (49/81) = 32 / 81

so we apply square root to get

cos A =sqrt (32 / 81) = 4 √2/9.

To find tan A we recall that the tan A = sin A / cos A, so using the information we already have we find that

Tan A = ( 7/9 ) / ( 4√2/9 ) = 7/ 4√2 = 7√2/8

Introduction to solving multi step equation:

If two expressions are in equal, then it is called as an equation. When we add, subtract, multiply or divide the similar number on both sides of the equation, the equation does not change. More than two steps are used to solve the equation is called as multi step equation. Now, we are going to see some of the problems on solving multi step equations.

Solving Multi Step Equations Problems:

Example problem 1:

Solve for the variable y: -20 = 3 (2 y + 8) + 4

Solution:

-20 = 3 (2y + 8) + 4

Eliminate the parentheses,

-20 = 3 (2 y) + 3 (8) + 4

-20 = 6 y + 24 + 4

-20 = 6y + 28

Subtract 28 on both sides of the equation

-20 - 28 = 6 y + 28 – 28

-48 = 6 y

Divide by 6 on both sides of the equation

-8 = y

So, the answer is y = -8.

Range in Math

Range in Math

Interval (also known as range)
The range is the distinction between the maximum and minimum value in the set of the data
Steps to find the Range:
Step1: First order the data from smallest to greatest (ascending order).
Step2: Subtract the smallest value from the largest value in the set.
Example 1:
The Jaeger family drove through 5 Midwestern states on their summer vacation. Gasoline prices varied from state to state. What is the range of gasoline prices?
35,79, $8
Solution:
Step 1: writing in ascending order: 3,5, 7,8, $9. This could also help us on figuring out percentages
Step 2: Range = 9−3= $6
Range is $6

Help with inverse of matrix

Introduction for inverse of matrix:
The inverse matrix method are formed on the basis like X=A-1B which is formed for finding the matrix X with the equation AX = B It is used in solving the linear system of equations. Here A-1 is the inverse matrix representation. If we have to find the inverse of the 3 x 3 matrix, which uses 2 x 2 matrix for finding the determinant value for the 3 x 3 matrix.

If we have to find the inverse of the 4 x 4 matrix, which uses 2 x 2 matrix and 3 x 3 matrix for finding the determinant value for the 4 x 4 matrix. This could also help us on harcourt math book.

Help with proportions and ratios

Proportions and Ratios
The ratio 50/15 may be simplified and written as 10/3.
50/15=10/3
An equation that state that the two ratios are equal is called a proportion. The preceding proportions may also be written in the form 50:15=10:3.
Percentage:
A percentage is a way of expressing number as a fraction of 100 (per cent meaning "per hundred"). This could also help us on inverse tangent calculator
Ratios:
The ration of two numbers p and q(q≠0) is the quotient of the numbers. The numbers p and q referred to as the terms of the ratio.

Help with Composite Number

Introduction to composite number:
In this section let me help you on what is composite number? A composite number is a positive integer which has a positive divisor other than one or itself. In other word, if n > 0 is an integer and there are integers 1 < n =" a" href="http://en.wikipedia.org/wiki/composite">composite number.

The numbers one is a unit – it is neither prime nor composite. For example, the integers 14 is a composite number because it can be factored as 2 × 7. Likewise, the integer 2 and 3 are not composite numbers because each of them can only be divided by one and itself. This could also help us on direct variation

Help with composite number

Introduction to composite number:
There are different type of numbers and here we need to fiind what are the composite numbers between 1-100, before seeing that let us learn what is composite numbers and the different
types of numbers.

The following are the types of numbers:

• Natural Numbers
• Whole Numbers Integers
• Rational Numbers
• Real Numbers
• Odd numbers
• Prime numbers
• composite numbers

Composite numbers are which can be divide by more than 1 number except 1 and the number itself. This could also help us on how to do long division. The numbers which has more than two factors( 1 and the number itself) is called composite number