anonymous
  • anonymous
Establish the Identity: csc tetha * tab tetha=sec tetha
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[\csc \Theta \times \tan \Theta=\sec\]
anonymous
  • anonymous
jim_thompson5910
  • jim_thompson5910
hints: csc = 1/sin tan = sin/cos

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jim_thompson5910
  • jim_thompson5910
also, sec = 1/cos
jim_thompson5910
  • jim_thompson5910
try transforming the left side into the right side do not alter the right side at all
anonymous
  • anonymous
ok gimme a minute
anonymous
  • anonymous
i changed it to|dw:1433390278065:dw|
jim_thompson5910
  • jim_thompson5910
good |dw:1433390396074:dw|
jim_thompson5910
  • jim_thompson5910
and the last line would be sec(theta) = sec(theta)
anonymous
  • anonymous
ok i understood that, but how did you know the hints?
jim_thompson5910
  • jim_thompson5910
it's something to memorize or have on a sheet like this http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf
jim_thompson5910
  • jim_thompson5910
see page 2 where it says "Tangent and Cotangent Identities" and "Reciprocal Identities"
jim_thompson5910
  • jim_thompson5910
your teacher may give you a sheet like that on the exam, but it's best to ask him/her first
anonymous
  • anonymous
yeah i don't he give us that, so i'm going to have to memorize it by tomorrow! thanks for the link
jim_thompson5910
  • jim_thompson5910
np
anonymous
  • anonymous
so basically since I got sec theta=sec theta that's the identity getting established?
jim_thompson5910
  • jim_thompson5910
yeah once you get to something in the form x = x, you have effectively proven the identity is confirmed
anonymous
  • anonymous
okay understood

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