This week we were introduced to Chapter 10 Section 2, which is a lot like Section 1.
We replaced and simplified formulas, but did not use sine and cosine for this section. Unfortunately, we are still not allowed to use calculators in this section, i know its tragic.
Below are some formulas you may need to remember:
Tan ( alpha + beta ) = tan alpha + tan beta/1- tan alpha tan beta
Tan ( alpha – beta ) = tan alpha – tan beta/ 1+ tan alpha tan beta
Cot is the opposite (reciprocal) of tan. So basically just flip the formula around to get cot.
Example : simplify
tan 100degrees – tan 10 degrees/ 1+ tan 100 degrees tan 10 degrees
This formula matches with the first one I gave, so you replace the right side with the left side and get: tan ( 100 – 10)
Subtracting is the next step: tan90degrees
Since tan 90 is on your trig chart that is the answer you will get undefined as your answer.
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