This week in math 10 we continued to learn about trigonometry and how to use our calculators to solve. The three different fractions for solving a missing variable is Sine, Cosine, and Tangent. Here is which components go into each fraction and how to solve:

Step 1: if the questions asks you to draw or is a word problem then starting there would be a good idea, if not you can begin by labeling your triangle by identifying the three different sides: hypotenuse, opposite side, and the adjacent side

To find the hypotenuse look for the little square in the corner on the inside of your triangle (called the 90 degree angle), and right across should be a longer side then the rest (always across the 90 degree angle)

To find the opposite side you can look for a number or a symbol that resembles an O with a line within the middle, right across from that you will find your opposite angle.

To find the adjacent angle you will need to once again look at your reference angle and look directly to the side that is not the hypotenuse.

Your triangle should look like this:

Step 2: Calculate the sides given to find the hypotenuse using the TAN method, including the Opposite on the top, b, and the adjacent side, 9.6, as well as the reference angle:

Step 3: Since the whole point of equations is to isolate the variable you must do that here, by multiplying the right side by the fractions denominator, 9.6, whatever you have done to one side you must do to the other:

Step 4: Calculate on your calculator to get your decimal!

 

 

 

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