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.