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Friday, April 4, 2014

Reflection #1: Unit Q: Verifying Trig Identities

1. What does it  mean to verify a trig function?

    To verify a trig function means to be able to get a specific answer according to what's given within the problem. Verifying a trig function takes quite an amount of time since your goal is to try different steps and plug in any Ratios, Reciprocals, or Pythagorean Identities into the problem. Remember, verifying means that your answer or final result needs to match to what is given to you. Verifying can go along with the same steps as simplifying.

2. What tips and tricks have you found helpful?

   The most helpful tip there is to try to change your trigs in terms of sine and cosine. Another helpful tip is to memorize all of the Ratios, Reciprocals, and Pythagorean Identities. At times, it is helpful if you separate the monomial fractions or combine the binomial fractions. When in doubt, you can always take the greatest common factor or least common denominator so in the end, your denominator can cancel.

3. Thought process and steps when verifying a trig function

   Personally, when I verify a trig function, I tend to change the trigs into sine and cosine. If this step does not work and my denominator is a binomial, then I would do the conjugate to the denominator and numerator. My other option when verifying a trig function is to separate the fractions (if any) and change it in terms of sine and cosine. It is also very useful to take the greatest common factor because there might be a chance when that GCF can cancel.

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