- To verify a trig identity is to be able to know how to manipulate what is given to you and find a way to create what is given to the answer. To be able to use knowledge of identities to substitute, cancel, or factor/multiply to get to the answer. For example, being able to see that tanx is sinx/cosx, or seeing that sin^2=cos^2-1.
- Some tips and tricks is just changing everything I can to sin and cos, by doing that I get a clearer image of what I can substitute with or cancel. Another important tip is to memorize the identities, to be able to look at a problem and be able to know what the identity to use without having to second-guess. I have found that looking at the problem in separate pieces to help a lot because I am not overwhelmed by the information.
- My thought process begins with me trying to find what I can substitute to best help me cancel things out or will just overall make the problem easier to look at. If not, then I would then try to see if moving things to one side would make an identity or would help me see what I can do to find the answer. I would try to see if I can divide/multiply by certain things like a fraction or a conjugate denominator to cancel things out or factor. I would also look for a GCF because that could probably lead to an identity. The last resort is to square things and I try to avoid doing that so I don't have to worry about having to remember to check for extraneous answers, but if I have to, then I would try to see if squaring both sides would bring me to the answer.
Showing posts with label Reflection. Show all posts
Showing posts with label Reflection. Show all posts
Thursday, April 3, 2014
Reflection #1 - Unit Q: Verifying Trig Identities
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