Question #2ab1a

1 Answer
Jan 30, 2018

It is impossible, due to the fact that it is not true.

Explanation:

We have #cotalpha+cscalpha-1/cotalpha-cscalpha+1=1+cosalpha/sinalpha#.

Remove the constants.

#cotalpha+cscalpha-1/cotalpha-cscalpha+1-1=cosalpha/sinalpha#

#cotalpha+cscalpha-1/cotalpha-cscalpha=cosalpha/sinalpha#

There are positive and negative instances of the cosecant function. So they will become #0#.

#cotalpha-1/cotalpha-cscalpha+cscalpha=cosalpha/sinalpha#

#cotalpha-1/cotalpha=cosalpha/sinalpha#

Apply the identity, #cosalpha/sinalpha=cotalpha#.

#cotalpha-1/cotalpha=cotalpha#

Wait. This makes no sense. For no value of #alpha# will the above be true.
Therefore, either you have made a mistake, or this is a trick question, and I have been baited.