Correct Answer - B
Given, expression `="cosec"(75^(@)+theta)-sec(15^(@)-theta)-tan(55^(@)+theta)+cot(35^(@)-theta)`
`="cosec"[90^(@)-(15^(@)-theta) - tan (55^(@)+theta)+cot(35^(@)-theta)`
`"cosec"[90^(@)-(15^(@)-theta)]-sec(15^(@)-theta)-tan(55^(@)+theta)+cot {90^(@)-(55^(@)+theta)}`
`=sec(15^(@)-theta)-sec(15^(@)-theta) + tan(55^(@)+theta)`
`["cosec"(90^(@)-theta)= sec theta` and `cot(90^(@)-theta)=tantheta]`
=0
Hence, the required value of the given expression is 0.
