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Need help! Pre-Calc...Trigonometry Identities?

Update:

I have cos(-x)/ sec(x)+tan(-x). So,here what I did.

cos(x)/ (1/cos(x) - (sin(x)/cos(x))

cos(x)/ (1-sin(x)/ cos(x))

cos^2 (x) / (1-sin(x)) <------That's wrong though so where did I go wrong and what's the answer.

2 Answers

Relevance
  • 6 years ago

    That whole sec x + tan (-x) is under the cos (-x)?

    Because if it is, and it must be, I got just what you got... but maybe they want you to continue:

    cos ^2 x = 1 - sin^2 x = (1 + sin x)(1 - sin x) so you'd have

    (1 + sin x)(1 - sin x) / (1 - sin x)

    which is just 1 + sin x

  • 6 years ago

    cos(x)/ (1/cos(x) = (cosx/1) / (1/cosx) = cos^2(x)So you have:

    cos^2(x) - sin(x)/cos(x)

    Does this help?. Leave a comment if we need to do more

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