Today, 20 of February, we learned the following in Math Class:

Before we Started the new Subject, We corrected the HW assigned yesterday:

Page 401 # 15-32 all

We started the section of Chapter 8 which talks about Trigonometry:

Ms. Saatkamp first asked us to put our calculators to calculate DEGREES (each calculator has a different way of ajusting it), then if your calculators had the options of operation: SIN / COS / TAN... if you don't, you need to buy a calculator with those operations fast because it's IMPOSIBLE to do Chapter 8 without it!

When using the operations above, you need to find out if you put the number BEFORE the operation or AFTER.

For Example: Sin37 OR 37Sin

Right Triangles Ratios

As said in the name, this ratios ONLY apply in Right Triangles, and more specifically, in their ACUTE angles.

On your left, this image of a trangle representes how to set which side is the Opposite Leg and which is the Adjascent Leg (By the way, the Hypotenuse NEVER changes, he will always be the Hypotenuse). It depends of which ACUTE Angle you are working with.

In the image, I chose to work with angle C. Since side c is opposite from angle C, side c will be the Opposite Leg. And the Adjacent Leg will be side a, since it's adjacent to angle C.

***But remmeber, the Hypotenuse is also adjacent to angle C but it NEVER, I repeat NEVER, will be the Adjacent Leg.

If we choosed angle A, the Opposite Leg would be side a and the Adjacent Leg, side c.

Ms. Saatkamp then gave us formulas to apply in order to calculate the the missing:

The formulas are:

Then she gave us examples

Example 1:

Angle A = 17

Side c = 5

Side b = x

You should apply the formula of COS

The Calculation for Example 1 would be this (Note that after an arrow, it is a new step):

Step 1:

Apply the numbers in the formula COS

Step 2:

Multiply both sides by x

Step 3:

Divide both sides by Cos17°

Step 4:

Use the calculator to find the answer

You should press 5 then press / then Cos17 then press = and you should get 5.2284... but simplified should be 5.23

Example 2:

Angle C = x

Side c = 7

Side a = 11

Yow should apply formula TAN

Step 1:
Apply the numbers in the formula TAN

Step 2:

Pass Tan to the other side (Note that it becomes negative in the other side)

Step 3:

Use the calculator to find the answer.

You should press Shift then Tan then open parenthesis then 7/11 then press = to find 32.4711... but simplify, so the final answer will be 32.5

Note: Some calculators instead of shift is Second and in some calculators the is no need to open parenthesis

There is HW =( for Monday March 2

Its Page 416 #17-53 ALL (except #50)