Question

prove sec θ / tan θ = csc θ

Answer 1

do we have \[\sec\theta =\frac{1}{\sin \theta}\] and \[\tan \theta =\frac{\sin \theta}{\cos \theta }\]
the rest is just multiplying and canceling

Answer 2

so we have now \[\frac{1}{\cos \theta }\times \frac{\cos \theta}{\sin \theta}\]

Answer 3

I need it step by step with reasons like what identities you used and everything

Answer 4

oh correction sec =1/cos not 1/sin typo :P

Answer 5

the identities involved are above just correct the first line to sec=/1cos

Answer 6

\(\tt sec \theta = \frac{1}{cos \theta} ~and~cosec \theta = \frac{1}{sin \theta}\)

That's it. Now all you have to do is replace things like following,

\(\huge \tt \frac{sec \theta}{tan \theta} = \frac{1/cos \theta}{sin \theta / cos \theta} = ? \)

Answer 7

im still not understanding the reasons part of this. I have a chart I have to fill out