Hello, I am having trouble trying to simplify the following expression; cos^2(x) - tan^2(x) / 1 + tan^2(x) Help is much appreciated, Dranalion
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Hi Dranalion You can try to apply identity :
Given the identity, sec^2(x) = 1 + tan^2(x) This makes the identity: cos^2(x) - tan^2(x)/sec^2(x) Which is: cos^2(x) - tan^2(x)/(1/cos^2(x)) How do I further simplify this expression?
Originally Posted by songoku Hi Dranalion You can try to apply identity : After you apply this you have: Hope this helps -Chad
Sorry, the identity is actually the divided term to be subtracted from cos^2(x), as in: cos^2(x) - [ tan^2(x)/(1/cos^2(x)) ]
Then you just have this: -Chad
Thanks! If you have cos^2(x) - sin^2(x), can you use the identity: sin^2(x) + cos^2(x) = 1 to somehow simplify this further? Or is this as far as it can be simplified?
Careful, we have: The identity reads: Ours is not the same. In ours, we have the difference, so we cannot use that identity here.
Hi Dranalion
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