Introduction for pre calculus 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.

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.

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