Answer : 1
Given : (cot x * secx) /(cosec x)
we know that:
• cot x = adjacent /opposite
,
• secx = hypotaneus / adjacent
,
• cscx = hypotaneus / opposite
Therefore , our expression can be re-rewritten as follows :
(cot x * secx) /(cosec x)
→{adj /opp * hyp /adj }/( hyp/opp)... [note that adj cancels each other ]
→(hyp /opp)/ hyp/opp
→(hyp /opp) * (opp /hyp) .......( each variable cancels each other)
→1*1
= 1