Question #2ab1a

1 Answer
Surya K.
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.

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