Question

Cos theta minus sin theta + 1 by cos theta + sin theta minus 1 is equal to cosec theta + cot theta

Answer 1

by l.h.s.

cos@ -sin@ +1/cos@ + sin@ -1
o. dividing by sin@ we get

cot@ -1 + cosec@/cot@ + 1 - cosec@
cosec@ + cot@ -1/1 - cosec@ +cot@

cosec@ + cot@ -(cosec^2@ - cot^2@)/1 - cosec@ + cot@

cosec@+ cot@-(cosec@+ cot@)×(cosec@ - cot@)/1- cosec@+ cot@

( cosec@+ cot@){1-(cosec@- cot@)}\ 1- cosec@ + cot@

(cosec@ + cot@){1- cosec@+ cot@)}\ 1- cose@ + cot@

cosec@ + cot@ R.H.S. ans.

sorry I use @ instead of ur theta